79:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.2 Gráficos de proporcionalidad inversa:@0.073089:0.136836:0.390137:0.136836:0.390137:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un automóvil llega a su destino en 6 horas, si su velocidad es de 120 km/h. ¿Cuánto :@0.073089:0.160625:0.710538:0.160625:0.710538:0.144191:0.073089:0.144191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo se demorará si su velocidad disminuye a 80, 60, 40 y 30 km/h? :@0.073089:0.177267:0.581368:0.177267:0.581368:0.160833:0.073089:0.160833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para conocer en qué tiempo llega a su destino, elaboramos la siguiente tabla::@0.073089:0.201051:0.632077:0.201051:0.632077:0.184617:0.073089:0.184617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Velocidad:@0.230003:0.227938:0.308103:0.227938:0.308103:0.210991:0.230003:0.210991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiempo:@0.370082:0.227938:0.430014:0.227938:0.430014:0.210991:0.370082:0.210991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
120:@0.255644:0.246909:0.282445:0.246909:0.282445:0.230476:0.255644:0.230476:0.000000:0.000000:0.000000
6:@0.395558:0.246909:0.404540:0.246909:0.404540:0.230476:0.395558:0.230476:0.000000
80:@0.260099:0.265881:0.277991:0.265881:0.277991:0.249447:0.260099:0.249447:0.000000:0.000000
9:@0.395558:0.265881:0.404540:0.265881:0.404540:0.249447:0.395558:0.249447:0.000000
60:@0.260099:0.284853:0.277991:0.284853:0.277991:0.268419:0.260099:0.268419:0.000000:0.000000
12:@0.391103:0.284853:0.408995:0.284853:0.408995:0.268419:0.391103:0.268419:0.000000:0.000000
40:@0.260099:0.303824:0.277991:0.303824:0.277991:0.287391:0.260099:0.287391:0.000000:0.000000
18:@0.391103:0.303824:0.408995:0.303824:0.408995:0.287391:0.391103:0.287391:0.000000:0.000000
30:@0.260099:0.322796:0.277991:0.322796:0.277991:0.306362:0.260099:0.306362:0.000000:0.000000
24:@0.391103:0.322796:0.408995:0.322796:0.408995:0.306362:0.391103:0.306362:0.000000:0.000000
Si comparamos el tiempo transcurrido con la velocidad, concluimos que al disminuir la :@0.073081:0.346150:0.710428:0.346150:0.710428:0.329716:0.073081:0.329716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad, el tiempo en llegar a su destino aumenta.:@0.073081:0.362792:0.450711:0.362792:0.450711:0.346358:0.073081:0.346358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las magnitudes :@0.073081:0.386576:0.191856:0.386576:0.191856:0.370142:0.073081:0.370142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo velocidad:@0.191679:0.386576:0.336632:0.386576:0.336632:0.369906:0.191679:0.369906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.246772:0.386576:0.262786:0.386576:0.262786:0.370142:0.246772:0.370142:0.000000:0.000000:0.000000
 están inversamente correlacionadas.:@0.336526:0.386576:0.603665:0.386576:0.603665:0.370142:0.336526:0.370142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Verifiquemos con los datos de la tabla si el producto entre las magnitudes correlacionadas :@0.073081:0.410360:0.710239:0.410360:0.710239:0.393926:0.073081:0.393926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es constante.:@0.073081:0.427002:0.168177:0.427002:0.168177:0.410568:0.073081:0.410568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
120   6  720; 80  9   720; 60   12   720; 40   18   720; 30   24   720:@0.125795:0.451838:0.653656:0.451838:0.653656:0.435405:0.125795:0.435405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 5 :@0.154722:0.451284:0.203148:0.451284:0.203148:0.437568:0.154722:0.437568:0.000000:0.000000:0.000000:0.000000
3  5:@0.254560:0.451284:0.298466:0.451284:0.298466:0.437568:0.254560:0.437568:0.000000:0.000000:0.000000:0.000000
3:@0.354397:0.451284:0.369731:0.451284:0.369731:0.437568:0.354397:0.437568:0.000000
5:@0.391883:0.451284:0.407216:0.451284:0.407216:0.437568:0.391883:0.437568:0.000000
3:@0.463149:0.451284:0.478482:0.451284:0.478482:0.437568:0.463149:0.437568:0.000000
5:@0.500635:0.451284:0.515968:0.451284:0.515968:0.437568:0.500635:0.437568:0.000000
3:@0.571899:0.451284:0.587232:0.451284:0.587232:0.437568:0.571899:0.437568:0.000000
5:@0.609386:0.451284:0.624720:0.451284:0.624720:0.437568:0.609386:0.437568:0.000000
Si dos magnitudes están inversamente correlacionadas y si el producto entre ellas es :@0.080125:0.478349:0.702192:0.478349:0.702192:0.461916:0.080125:0.461916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante decimos que sus magnitudes varían en forma:@0.080125:0.494991:0.486301:0.494991:0.486301:0.478557:0.080125:0.478557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 inversamente proporcional.:@0.485931:0.494991:0.698321:0.494991:0.698321:0.478322:0.485931:0.478322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ahora, representemos en el plano los datos de la tabla.:@0.073093:0.523074:0.468893:0.523074:0.468893:0.506640:0.073093:0.506640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
200:@0.096787:0.555790:0.115202:0.555790:0.115202:0.544498:0.096787:0.544498:0.000000:0.000000:0.000000
180:@0.096787:0.569350:0.115202:0.569350:0.115202:0.558058:0.096787:0.558058:0.000000:0.000000:0.000000
160:@0.096787:0.582909:0.115202:0.582909:0.115202:0.571617:0.096787:0.571617:0.000000:0.000000:0.000000
140:@0.096787:0.596469:0.115202:0.596469:0.115202:0.585177:0.096787:0.585177:0.000000:0.000000:0.000000
120:@0.096787:0.610028:0.115202:0.610028:0.115202:0.598737:0.096787:0.598737:0.000000:0.000000:0.000000
100:@0.096787:0.623588:0.115202:0.623588:0.115202:0.612296:0.096787:0.612296:0.000000:0.000000:0.000000
80:@0.102908:0.637147:0.115202:0.637147:0.115202:0.625856:0.102908:0.625856:0.000000:0.000000
60:@0.102908:0.650707:0.115202:0.650707:0.115202:0.639415:0.102908:0.639415:0.000000:0.000000
40:@0.102908:0.664266:0.115202:0.664266:0.115202:0.652975:0.102908:0.652975:0.000000:0.000000
20:@0.102908:0.677826:0.115202:0.677826:0.115202:0.666534:0.102908:0.666534:0.000000:0.000000
0:@0.109030:0.691385:0.115202:0.691385:0.115202:0.680094:0.109030:0.680094:0.000000
Velocidad (km/h):@0.088547:0.654639:0.088547:0.577396:0.070229:0.577396:0.070229:0.654639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiempo (horas):@0.183861:0.729800:0.275738:0.729800:0.275738:0.716000:0.183861:0.716000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.138142:0.715937:0.144314:0.715937:0.144314:0.704646:0.138142:0.704646:0.000000
6 9 12 15 18 21 24 27 30:@0.159656:0.715937:0.326731:0.715937:0.326731:0.704646:0.159656:0.704646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.118841:0.540115:0.125024:0.540115:0.125024:0.527569:0.118841:0.527569:0.000000
x:@0.342694:0.709056:0.348722:0.709056:0.348722:0.696510:0.342694:0.696510:0.000000
Para determinar la constante de proporcionalidad, se debe tomar un valor de   y :@0.073089:0.777934:0.710366:0.777934:0.710366:0.761500:0.073089:0.761500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.684357:0.777934:0.691830:0.777934:0.691830:0.761528:0.684357:0.761528:0.000000
multiplicarlo por el valor correspondiente en  . :@0.073089:0.794576:0.414598:0.794576:0.414598:0.778142:0.073089:0.778142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.399983:0.794576:0.407438:0.794576:0.407438:0.778170:0.399983:0.778170:0.000000
Para el caso anterior,     120   6   720:@0.073089:0.818360:0.363316:0.818360:0.363316:0.801926:0.073089:0.801926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.223973:0.818360:0.231538:0.818360:0.231538:0.801954:0.223973:0.801954:0.000000
5:@0.235422:0.817805:0.250755:0.817805:0.250755:0.804089:0.235422:0.804089:0.000000
3 5:@0.285269:0.817805:0.332649:0.817805:0.332649:0.804089:0.285269:0.804089:0.000000:0.000000:0.000000
De este modo, la función racional que representa las magnitudes inversamente :@0.073089:0.842144:0.710613:0.842144:0.710613:0.825710:0.073089:0.825710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales será: :@0.073089:0.863209:0.222578:0.863209:0.222578:0.846776:0.073089:0.846776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.222372:0.863209:0.229845:0.863209:0.229845:0.846803:0.222372:0.846803:0.000000
 5 :@0.229771:0.862655:0.254124:0.862655:0.254124:0.848939:0.229771:0.848939:0.000000:0.000000:0.000000
720:@0.257905:0.856801:0.282269:0.856801:0.282269:0.841861:0.257905:0.841861:0.000000:0.000000:0.000000
x:@0.266690:0.869825:0.273467:0.869825:0.273467:0.854910:0.266690:0.854910:0.000000
Cuando dos magnitudes son :@0.449720:0.567505:0.663708:0.567505:0.663708:0.551072:0.449720:0.551072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversamente proporcionales, :@0.449720:0.584147:0.668560:0.584147:0.668560:0.567713:0.449720:0.567713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forman en el plano cartesiano una :@0.449720:0.600789:0.702130:0.600789:0.702130:0.584355:0.449720:0.584355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
secuencia de puntos que crean :@0.449720:0.617431:0.681031:0.617431:0.681031:0.600997:0.449720:0.600997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una curva denominada hipérbola.:@0.449720:0.634073:0.696142:0.634073:0.696142:0.617639:0.449720:0.617639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipérbola:@0.740548:0.560517:0.809164:0.560517:0.809164:0.545363:0.740548:0.545363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una Hipérbola :@0.809068:0.560517:0.915064:0.560517:0.915064:0.545577:0.809068:0.545577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el lugar geométrico de :@0.740543:0.575646:0.912587:0.575646:0.912587:0.560706:0.740543:0.560706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los puntos del plano cuya :@0.740543:0.590775:0.913581:0.590775:0.913581:0.575835:0.740543:0.575835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia de distancias a :@0.740543:0.605904:0.908958:0.605904:0.908958:0.590964:0.740543:0.590964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos puntos fijos, llamados :@0.740543:0.621033:0.914646:0.621033:0.914646:0.606093:0.740543:0.606093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
focos, es constante.. :@0.740543:0.636162:0.875057:0.636162:0.875057:0.621222:0.740543:0.621222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740543:0.519745:0.839234:0.519745:0.839234:0.504338:0.740543:0.504338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740543:0.534874:0.829157:0.534874:0.829157:0.519467:0.740543:0.519467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 7 (Ev. 2) Toma decisiones informadas en exploraciones numéricas, algebraicas o gráficas de los modelos matemáticos usados.:@0.081153:0.968542:0.764203:0.968542:0.764203:0.956590:0.081153:0.956590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 7 (Ev. 2) Utiliza métodos informales exploratorios para resolver ecuaciones.:@0.081153:0.980645:0.497320:0.980645:0.497320:0.968693:0.081153:0.968693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las magnitudes inversamente :@0.449720:0.661156:0.659333:0.661156:0.659333:0.644722:0.449720:0.644722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales, responden a la :@0.449720:0.677798:0.663738:0.677798:0.663738:0.661364:0.449720:0.661364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función racional de la forma     :@0.449720:0.699765:0.671914:0.699765:0.671914:0.683331:0.449720:0.683331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.642665:0.699765:0.650138:0.699765:0.650138:0.683359:0.642665:0.683359:0.000000
5:@0.653102:0.699210:0.668435:0.699210:0.668435:0.685495:0.653102:0.685495:0.000000
k:@0.679081:0.692444:0.685959:0.692444:0.685959:0.677529:0.679081:0.677529:0.000000
x:@0.679131:0.705468:0.685909:0.705468:0.685909:0.690553:0.679131:0.690553:0.000000
 :@0.693666:0.699763:0.697698:0.699763:0.697698:0.683329:0.693666:0.683329:0.000000
donde   es la constante de :@0.449715:0.716404:0.637057:0.716404:0.637057:0.699971:0.449715:0.699971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.499120:0.716404:0.506906:0.716404:0.506906:0.699971:0.499120:0.699971:0.000000
proporcionalidad.:@0.449734:0.733046:0.570743:0.733046:0.570743:0.716613:0.449734:0.716613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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