﻿188:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Función lineal:@0.073089:0.043661:0.198071:0.043661:0.198071:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero, hallamos la pendiente de la recta dada. Para ello, despejamos y. :@0.293660:0.136836:0.818893:0.136836:0.818893:0.121124:0.293660:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.565830:0.157056:0.574813:0.157056:0.574813:0.141343:0.565830:0.141343:0.000000
x y:@0.575843:0.157056:0.608148:0.157056:0.608148:0.140650:0.575843:0.140650:0.000000:0.000000:0.000000
+ – =:@0.584329:0.157639:0.644742:0.157639:0.644742:0.139984:0.584329:0.139984:0.000000:0.000000:0.000000:0.000000:0.000000
4 0:@0.619395:0.157056:0.654737:0.157056:0.654737:0.141343:0.619395:0.141343:0.000000:0.000000:0.000000
y:@0.570837:0.173698:0.578310:0.173698:0.578310:0.157292:0.570837:0.157292:0.000000
=–:@0.579341:0.174280:0.604890:0.174280:0.604890:0.156626:0.579341:0.156626:0.000000:0.000000
3:@0.605902:0.173698:0.614885:0.173698:0.614885:0.157985:0.605902:0.157985:0.000000
x:@0.615916:0.173698:0.623371:0.173698:0.623371:0.157292:0.615916:0.157292:0.000000
+:@0.624402:0.174280:0.639735:0.174280:0.639735:0.156626:0.624402:0.156626:0.000000
4:@0.640747:0.173698:0.649730:0.173698:0.649730:0.157985:0.640747:0.157985:0.000000
Luego, la pendiente de la recta dada es  3. Recordemos que dos rectas son :@0.293660:0.193918:0.931043:0.193918:0.931043:0.178205:0.293660:0.178205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.632372:0.194500:0.641576:0.194500:0.641576:0.176846:0.632372:0.176846:0.000000
perpendiculares cuando el producto de sus pendientes es  1.:@0.293660:0.210560:0.741269:0.210560:0.741269:0.194847:0.293660:0.194847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.718941:0.211142:0.728145:0.211142:0.728145:0.193488:0.718941:0.193488:0.000000
Es decir que:@0.293660:0.265283:0.381463:0.265283:0.381463:0.249571:0.293660:0.249571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.571941:0.285503:0.586556:0.285503:0.586556:0.269097:0.571941:0.269097:0.000000
2:@0.587592:0.288665:0.592829:0.288665:0.592829:0.279505:0.587592:0.279505:0.000000
=–:@0.593426:0.286076:0.618975:0.286076:0.618975:0.268421:0.593426:0.268421:0.000000:0.000000
1:@0.630227:0.276074:0.638393:0.276074:0.638393:0.261790:0.630227:0.261790:0.000000
m:@0.624417:0.290738:0.639032:0.290738:0.639032:0.274332:0.624417:0.274332:0.000000
1:@0.638967:0.293910:0.644204:0.293910:0.644204:0.284750:0.638967:0.284750:0.000000
Luego, la nueva pendiente es:@0.293660:0.316429:0.506566:0.316429:0.506566:0.300717:0.293660:0.300717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.551785:0.347369:0.566400:0.347369:0.566400:0.330963:0.551785:0.330963:0.000000
2:@0.567445:0.350539:0.572681:0.350539:0.572681:0.341379:0.567445:0.341379:0.000000
=–:@0.573280:0.347949:0.598829:0.347949:0.598829:0.330295:0.573280:0.330295:0.000000:0.000000
1:@0.614499:0.337948:0.622665:0.337948:0.622665:0.323664:0.614499:0.323664:0.000000
( 3):@0.604738:0.354214:0.632441:0.354214:0.632441:0.338501:0.604738:0.338501:0.000000:0.000000:0.000000:0.000000
–:@0.609542:0.354796:0.618746:0.354796:0.618746:0.337142:0.609542:0.337142:0.000000
=:@0.638349:0.347945:0.653683:0.347945:0.653683:0.330291:0.638349:0.330291:0.000000
1:@0.657647:0.337948:0.665813:0.337948:0.665813:0.323664:0.657647:0.323664:0.000000
3:@0.657239:0.355133:0.666221:0.355133:0.666221:0.339420:0.657239:0.339420:0.000000
Es decir que debemos buscar la ecuación de la recta que tiene :@0.293658:0.378307:0.748966:0.378307:0.748966:0.362594:0.293658:0.362594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.748446:0.378307:0.763062:0.378307:0.763062:0.361901:0.748446:0.361901:0.000000
=:@0.764093:0.378889:0.779426:0.378889:0.779426:0.361235:0.764093:0.361235:0.000000
1:@0.785477:0.369537:0.793643:0.369537:0.793643:0.355253:0.785477:0.355253:0.000000
3:@0.785069:0.386722:0.794051:0.386722:0.794051:0.371010:0.785069:0.371010:0.000000
 y que pasa por el :@0.799684:0.378304:0.931029:0.378304:0.931029:0.362592:0.799684:0.362592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto  ( 2, 3).:@0.293668:0.394946:0.398995:0.394946:0.398995:0.379233:0.293668:0.379233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.342392:0.394946:0.352277:0.394946:0.352277:0.378540:0.342392:0.378540:0.000000
–:@0.357008:0.395528:0.366211:0.395528:0.366211:0.377874:0.357008:0.377874:0.000000
Escribimos la forma estándar de la ecuación de la recta: :@0.293668:0.425886:0.696918:0.425886:0.696918:0.410173:0.293668:0.410173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mx b:@0.696474:0.425886:0.771079:0.425886:0.771079:0.409480:0.696474:0.409480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.704979:0.426468:0.720312:0.426468:0.720312:0.408814:0.704979:0.408814:0.000000
+:@0.745475:0.426468:0.760808:0.426468:0.760808:0.408814:0.745475:0.408814:0.000000
. Remplazamos :@0.772110:0.425886:0.885804:0.425886:0.885804:0.410173:0.772110:0.410173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.293650:0.456826:0.308265:0.456826:0.308265:0.440420:0.293650:0.440420:0.000000
 por :@0.308192:0.456826:0.341343:0.456826:0.341343:0.441113:0.308192:0.441113:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.346273:0.448052:0.354439:0.448052:0.354439:0.433768:0.346273:0.433768:0.000000
3:@0.345865:0.465238:0.354848:0.465238:0.354848:0.449525:0.345865:0.449525:0.000000
,   por  2;  por 3::@0.360480:0.456820:0.484950:0.456820:0.484950:0.441107:0.360480:0.441107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.367549:0.456820:0.375003:0.456820:0.375003:0.440414:0.367549:0.440414:0.000000
–:@0.407971:0.457402:0.417174:0.457402:0.417174:0.439748:0.407971:0.439748:0.000000
 y:@0.429102:0.456820:0.439815:0.456820:0.439815:0.440414:0.429102:0.440414:0.000000:0.000000
3:@0.558671:0.487760:0.567654:0.487760:0.567654:0.472047:0.558671:0.472047:0.000000
=:@0.568685:0.488342:0.584018:0.488342:0.584018:0.470688:0.568685:0.470688:0.000000
1:@0.590057:0.478990:0.598223:0.478990:0.598223:0.464706:0.590057:0.464706:0.000000
3:@0.589649:0.496174:0.598632:0.496174:0.598632:0.480461:0.589649:0.480461:0.000000
( 2):@0.604264:0.487756:0.635280:0.487756:0.635280:0.472043:0.604264:0.472043:0.000000:0.000000:0.000000:0.000000
– +:@0.610173:0.488338:0.651644:0.488338:0.651644:0.470684:0.610173:0.470684:0.000000:0.000000:0.000000
b:@0.652657:0.487756:0.661916:0.487756:0.661916:0.471350:0.652657:0.471350:0.000000
b:@0.587882:0.518696:0.597141:0.518696:0.597141:0.502290:0.587882:0.502290:0.000000
=:@0.598171:0.519278:0.613505:0.519278:0.613505:0.501624:0.598171:0.501624:0.000000
11:@0.614975:0.509926:0.632245:0.509926:0.632245:0.495642:0.614975:0.495642:0.000000:0.000000
3:@0.619115:0.527111:0.628098:0.527111:0.628098:0.511399:0.619115:0.511399:0.000000
Luego, la ecuación que buscamos es :@0.293657:0.549633:0.563456:0.549633:0.563456:0.533920:0.293657:0.533920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.563157:0.549633:0.570631:0.549633:0.570631:0.533227:0.563157:0.533227:0.000000
=:@0.571662:0.550216:0.586995:0.550216:0.586995:0.532561:0.571662:0.532561:0.000000
1:@0.593034:0.540863:0.601200:0.540863:0.601200:0.526579:0.593034:0.526579:0.000000
3:@0.592626:0.558049:0.601608:0.558049:0.601608:0.542336:0.592626:0.542336:0.000000
x:@0.607241:0.549631:0.614696:0.549631:0.614696:0.533225:0.607241:0.533225:0.000000
+:@0.615727:0.550213:0.631060:0.550213:0.631060:0.532559:0.615727:0.532559:0.000000
11:@0.632548:0.540863:0.649817:0.540863:0.649817:0.526579:0.632548:0.526579:0.000000:0.000000
3:@0.636688:0.558049:0.645670:0.558049:0.645670:0.542336:0.636688:0.542336:0.000000
En la forma general de la ecuación de la recta podemos escribir:  3:@0.293668:0.576993:0.786946:0.576993:0.786946:0.561280:0.293668:0.561280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.759262:0.576993:0.766717:0.576993:0.766717:0.560586:0.759262:0.560586:0.000000
–:@0.767747:0.577575:0.776951:0.577575:0.776951:0.559921:0.767747:0.559921:0.000000
y:@0.787977:0.576993:0.795450:0.576993:0.795450:0.560586:0.787977:0.560586:0.000000
+:@0.796481:0.577575:0.811814:0.577575:0.811814:0.559921:0.796481:0.559921:0.000000
11 0:@0.812827:0.576993:0.858164:0.576993:0.858164:0.561280:0.812827:0.561280:0.000000:0.000000:0.000000:0.000000
=:@0.832835:0.577575:0.848169:0.577575:0.848169:0.559921:0.832835:0.559921:0.000000
3:@0.693062:0.803445:0.699595:0.803445:0.699595:0.792018:0.693062:0.792018:0.000000
4:@0.582445:0.693377:0.588978:0.693377:0.588978:0.681950:0.582445:0.681950:0.000000
5:@0.582445:0.668132:0.588978:0.668132:0.588978:0.656704:0.582445:0.656704:0.000000
6:@0.582445:0.643219:0.588978:0.643219:0.588978:0.631792:0.582445:0.631792:0.000000
7:@0.582445:0.617561:0.588978:0.617561:0.588978:0.606133:0.582445:0.606133:0.000000
2:@0.658376:0.803435:0.664909:0.803435:0.664909:0.792008:0.658376:0.792008:0.000000
2:@0.582445:0.744846:0.588978:0.744846:0.588978:0.733418:0.582445:0.733418:0.000000
3:@0.582445:0.718945:0.588978:0.718945:0.588978:0.707517:0.582445:0.707517:0.000000
1:@0.625096:0.803435:0.631629:0.803435:0.631629:0.792008:0.625096:0.792008:0.000000
1:@0.582445:0.770272:0.588978:0.770272:0.588978:0.758845:0.582445:0.758845:0.000000
4:@0.726155:0.803435:0.732688:0.803435:0.732688:0.792008:0.726155:0.792008:0.000000
0:@0.582445:0.803435:0.588978:0.803435:0.588978:0.792008:0.582445:0.792008:0.000000
-1:@0.553181:0.803546:0.563703:0.803546:0.563703:0.792119:0.553181:0.792119:0.000000:0.000000
-1:@0.578455:0.822013:0.588978:0.822013:0.588978:0.810586:0.578455:0.810586:0.000000:0.000000
-2:@0.519177:0.803546:0.529700:0.803546:0.529700:0.792119:0.519177:0.792119:0.000000:0.000000
-3:@0.486111:0.803546:0.496634:0.803546:0.496634:0.792119:0.486111:0.792119:0.000000:0.000000
A:@0.525255:0.711001:0.536023:0.711001:0.536023:0.695288:0.525255:0.695288:0.000000
x:@0.600872:0.670575:0.608327:0.670575:0.608327:0.654169:0.600872:0.654169:0.000000
:@0.608327:0.671158:0.617531:0.671158:0.617531:0.653503:0.608327:0.653503:0.000000
3:@0.618635:0.670575:0.627618:0.670575:0.627618:0.654862:0.618635:0.654862:0.000000
y:@0.627618:0.670575:0.635091:0.670575:0.635091:0.654169:0.627618:0.654169:0.000000
:@0.635088:0.671531:0.651815:0.671531:0.651815:0.652272:0.635088:0.652272:0.000000
11 0:@0.651815:0.670580:0.694097:0.670580:0.694097:0.654868:0.651815:0.654868:0.000000:0.000000:0.000000:0.000000
:@0.669781:0.671163:0.685114:0.671163:0.685114:0.653508:0.669781:0.653508:0.000000
3:@0.628881:0.759305:0.638681:0.759305:0.638681:0.742164:0.628881:0.742164:0.000000
x y:@0.638681:0.759305:0.671693:0.759305:0.671693:0.741408:0.638681:0.741408:0.000000:0.000000:0.000000
:@0.646813:0.759941:0.663541:0.759941:0.663541:0.740681:0.646813:0.740681:0.000000
:@0.671692:0.759572:0.680895:0.759572:0.680895:0.741918:0.671692:0.741918:0.000000
4:@0.682000:0.758990:0.690982:0.758990:0.690982:0.743277:0.682000:0.743277:0.000000
:@0.690984:0.759941:0.707711:0.759941:0.707711:0.740681:0.690984:0.740681:0.000000
0:@0.707711:0.759305:0.717511:0.759305:0.717511:0.742164:0.707711:0.742164:0.000000
En la gráfica observamos que las dos rectas son perpendiculares y que la segunda pasa :@0.293660:0.869445:0.931291:0.869445:0.931291:0.853732:0.293660:0.853732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el punto  ( 2, 3).:@0.293660:0.886087:0.444692:0.886087:0.444692:0.870374:0.293660:0.870374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.388089:0.886087:0.397974:0.886087:0.397974:0.869681:0.388089:0.869681:0.000000
–:@0.402705:0.886669:0.411908:0.886669:0.411908:0.869015:0.402705:0.869015:0.000000
La calidad del aire es :@0.081181:0.191415:0.220182:0.191415:0.220182:0.177131:0.081181:0.177131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crucial para nuestra :@0.081181:0.206544:0.213579:0.206544:0.213579:0.192260:0.081181:0.192260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
salud, y podemos :@0.081181:0.221673:0.200839:0.221673:0.200839:0.207389:0.081181:0.207389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usar la matemática, :@0.081181:0.236802:0.212200:0.236802:0.212200:0.222518:0.081181:0.222518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
específicamente la :@0.081181:0.251931:0.208100:0.251931:0.208100:0.237647:0.081181:0.237647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación de la recta :@0.081181:0.267060:0.217096:0.267060:0.217096:0.252776:0.081181:0.252776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendicular, para :@0.081181:0.282189:0.212578:0.282189:0.212578:0.267905:0.081181:0.267905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entenderla mejor.:@0.081181:0.297318:0.197829:0.297318:0.197829:0.283033:0.081181:0.283033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al graficar los niveles de :@0.081181:0.312447:0.242383:0.312447:0.242383:0.298162:0.081181:0.298162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contaminación a lo largo :@0.081181:0.327576:0.248981:0.327576:0.248981:0.313291:0.081181:0.313291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del tiempo, vemos cómo :@0.081181:0.342705:0.249811:0.342705:0.249811:0.328420:0.081181:0.328420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambian. Una línea que :@0.081181:0.357833:0.240253:0.357833:0.240253:0.343549:0.081181:0.343549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sube indica un aumento :@0.081181:0.372962:0.246136:0.372962:0.246136:0.358678:0.081181:0.358678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la contaminación.:@0.081181:0.388091:0.219084:0.388091:0.219084:0.373807:0.081181:0.373807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Podemos trazar otra :@0.081181:0.403220:0.217488:0.403220:0.217488:0.388936:0.081181:0.388936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea que represente :@0.081181:0.418349:0.220170:0.418349:0.220170:0.404065:0.081181:0.404065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuestra meta de calidad :@0.081181:0.433478:0.244001:0.433478:0.244001:0.419194:0.081181:0.419194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del aire. Si esta línea es :@0.081181:0.448607:0.233429:0.448607:0.233429:0.434323:0.081181:0.434323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendicular a la línea de :@0.081181:0.463736:0.259204:0.463736:0.259204:0.449452:0.081181:0.449452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contaminación, significa :@0.081181:0.478865:0.244697:0.478865:0.244697:0.464581:0.081181:0.464581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que necesitamos un :@0.081181:0.493994:0.218984:0.493994:0.218984:0.479710:0.081181:0.479710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambio radical en nuestras :@0.081181:0.509123:0.261555:0.509123:0.261555:0.494839:0.081181:0.494839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acciones para mejorar la :@0.081181:0.524252:0.244838:0.524252:0.244838:0.509968:0.081181:0.509968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
situación.:@0.081181:0.539381:0.143715:0.539381:0.143715:0.525097:0.081181:0.525097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Unir la calidad del aire :@0.080227:0.655382:0.228666:0.655382:0.228666:0.641098:0.080227:0.641098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con las matemáticas nos :@0.080227:0.670511:0.246002:0.670511:0.246002:0.656227:0.080227:0.656227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayuda a ver claramente :@0.080227:0.685640:0.237120:0.685640:0.237120:0.671356:0.080227:0.671356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la necesidad de cambios :@0.080227:0.700769:0.246628:0.700769:0.246628:0.686484:0.080227:0.686484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positivos. Juntos, podemos :@0.080227:0.715898:0.261829:0.715898:0.261829:0.701613:0.080227:0.701613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trabajar por un aire más :@0.080227:0.731027:0.240095:0.731027:0.240095:0.716742:0.080227:0.716742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
limpio y saludable.:@0.080227:0.746156:0.202712:0.746156:0.202712:0.731871:0.080227:0.731871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.081181:0.145117:0.170502:0.145117:0.170502:0.128170:0.081181:0.128170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educación :@0.081181:0.157724:0.166572:0.157724:0.166572:0.140777:0.081181:0.140777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medio ambietal:@0.081181:0.170330:0.205411:0.170330:0.205411:0.153383:0.081181:0.153383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 9 (Ev. 1) Opera con formas simbólicas y las interpreta.:@0.223199:0.959197:0.527103:0.959197:0.527103:0.947769:0.223199:0.947769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 2) Relaciona un cambio en la variable independiente con el cambio correspondiente en la variable dependiente.:@0.223199:0.971300:0.870508:0.971300:0.870508:0.959873:0.223199:0.959873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 10 (Ev. 1) Toma decisiones informadas en exploraciones numéricas, algebraicas o gráficas de los modelos matemáticos usados.:@0.223199:0.983403:0.913392:0.983403:0.913392:0.971976:0.223199:0.971976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000