228:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 4:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función lineal y afín:@0.305293:0.083059:0.564681:0.083059:0.564681:0.055403:0.305293:0.055403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una fotocopiadora cobran 5 centavos por cada copia. ¿Cuál es la expresión :@0.304744:0.234660:0.907198:0.234660:0.907198:0.218990:0.304744:0.218990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática que determina el costo de cierto número de copias? ¿Es esta expresión :@0.304744:0.251257:0.907119:0.251257:0.907119:0.235587:0.304744:0.235587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función? Si lo es, ¿qué tipo de función es?:@0.304744:0.267853:0.640567:0.267853:0.640567:0.252183:0.304744:0.252183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La expresión que permite obtener el costo de un número desconocido de copias :@0.304744:0.291572:0.907156:0.291572:0.907156:0.275902:0.304744:0.275902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es   = 0,05 , donde   representa el costo y x el número de copias.:@0.304744:0.308168:0.785607:0.308168:0.785607:0.292499:0.304744:0.292499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.324590:0.308168:0.334504:0.308168:0.334504:0.291807:0.324590:0.291807:0.000000
x:@0.383743:0.308168:0.391206:0.308168:0.391206:0.291807:0.383743:0.291807:0.000000
C:@0.451151:0.308168:0.461065:0.308168:0.461065:0.291807:0.451151:0.291807:0.000000
Sí, es una función porque a cada elemento de x le corresponderá un solo elemento :@0.304744:0.331887:0.907068:0.331887:0.907068:0.316217:0.304744:0.316217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de .:@0.304744:0.348484:0.340143:0.348484:0.340143:0.332814:0.304744:0.332814:0.000000:0.000000:0.000000:0.000000
 C:@0.323706:0.348484:0.336937:0.348484:0.336937:0.332122:0.323706:0.332122:0.000000:0.000000
Se trata de una función lineal porque la variable independiente   es de grado 1. :@0.304744:0.372203:0.907068:0.372203:0.907068:0.356533:0.304744:0.356533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.783787:0.372203:0.791250:0.372203:0.791250:0.355841:0.783787:0.355841:0.000000
Además, si elaboramos una tabla de valores y graficamos reemplazando   por  , :@0.304744:0.388799:0.907125:0.388799:0.907125:0.373129:0.304744:0.373129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.846774:0.388799:0.856688:0.388799:0.856688:0.372438:0.846774:0.372438:0.000000
y:@0.892401:0.388799:0.899883:0.388799:0.899883:0.372438:0.892401:0.372438:0.000000
obtenemos una línea recta que pasa por el origen.:@0.304744:0.405395:0.673733:0.405395:0.673733:0.389726:0.304744:0.389726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.480847:0.447668:0.489541:0.447668:0.489541:0.432090:0.480847:0.432090:0.000000
10:@0.524503:0.447668:0.540854:0.447668:0.540854:0.433423:0.524503:0.433423:0.000000:0.000000
15:@0.571996:0.447668:0.588347:0.447668:0.588347:0.433423:0.571996:0.433423:0.000000:0.000000
20:@0.619489:0.447668:0.635840:0.447668:0.635840:0.433423:0.619489:0.433423:0.000000:0.000000
30:@0.666982:0.447668:0.683333:0.447668:0.683333:0.433423:0.666982:0.433423:0.000000:0.000000
50:@0.714475:0.447668:0.730826:0.447668:0.730826:0.433423:0.714475:0.433423:0.000000:0.000000
y:@0.480830:0.465484:0.489591:0.465484:0.489591:0.449906:0.480830:0.449906:0.000000
0,5:@0.523063:0.465484:0.542328:0.465484:0.542328:0.451239:0.523063:0.451239:0.000000:0.000000:0.000000
0,75:@0.566468:0.465484:0.593908:0.465484:0.593908:0.451239:0.566468:0.451239:0.000000:0.000000:0.000000:0.000000
1:@0.623594:0.465484:0.631769:0.465484:0.631769:0.451239:0.623594:0.451239:0.000000
1,5:@0.665542:0.465484:0.684807:0.465484:0.684807:0.451239:0.665542:0.451239:0.000000:0.000000:0.000000
2,5:@0.713035:0.465484:0.732300:0.465484:0.732300:0.451239:0.713035:0.451239:0.000000:0.000000:0.000000
Se denomina :@0.319826:0.775785:0.420911:0.775785:0.420911:0.760115:0.319826:0.760115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función lineal :@0.420514:0.775785:0.532204:0.775785:0.532204:0.758884:0.420514:0.758884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la función cuya expresión algebraica es del tipo :@0.531836:0.775785:0.891783:0.775785:0.891783:0.760115:0.531836:0.760115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.316472:0.792381:0.323954:0.792381:0.323954:0.776020:0.316472:0.776020:0.000000
 = :@0.323954:0.792381:0.343340:0.792381:0.343340:0.776712:0.323954:0.776712:0.000000:0.000000:0.000000
mx:@0.343671:0.792381:0.365766:0.792381:0.365766:0.776020:0.343671:0.776020:0.000000:0.000000
, siendo m un número cualquiera distinto de cero. Este valor m se llama :@0.365766:0.792381:0.895209:0.792381:0.895209:0.776712:0.365766:0.776712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pendiente.:@0.316472:0.808978:0.395691:0.808978:0.395691:0.793308:0.316472:0.793308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Su gráfica es una línea recta que pasa por el origen: (0, 0). :@0.316472:0.832697:0.738054:0.832697:0.738054:0.817027:0.316472:0.817027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.316472:0.856416:0.337129:0.856416:0.337129:0.840746:0.316472:0.840746:0.000000:0.000000:0.000000
función:@0.337129:0.856416:0.397959:0.856416:0.397959:0.839515:0.337129:0.839515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es creciente si   > 0 y decreciente si   < 0.:@0.397959:0.856416:0.718725:0.856416:0.718725:0.840746:0.397959:0.840746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.508431:0.856416:0.523062:0.856416:0.523062:0.840054:0.508431:0.840054:0.000000
m:@0.672840:0.856416:0.687472:0.856416:0.687472:0.840054:0.672840:0.840054:0.000000
El dominio de la función lineal son todos los   y su rango también son todos :@0.316472:0.880135:0.895210:0.880135:0.895210:0.864465:0.316472:0.864465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.650104:0.880715:0.663409:0.880715:0.663409:0.863109:0.650104:0.863109:0.000000
los  .:@0.316472:0.896731:0.357603:0.896731:0.357603:0.881061:0.316472:0.881061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.341091:0.897312:0.354396:0.897312:0.354396:0.879706:0.341091:0.879706:0.000000
Cuando dos variables :@0.105654:0.486148:0.252387:0.486148:0.252387:0.471903:0.105654:0.471903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son directamente :@0.105654:0.501236:0.227091:0.501236:0.227091:0.486990:0.105654:0.486990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales, :@0.105654:0.516323:0.212282:0.516323:0.212282:0.502078:0.105654:0.502078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos una línea :@0.105654:0.531411:0.251249:0.531411:0.251249:0.517166:0.105654:0.517166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta.:@0.105654:0.546498:0.141890:0.546498:0.141890:0.532253:0.105654:0.532253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para graficar una :@0.105654:0.568715:0.219855:0.568715:0.219855:0.554470:0.105654:0.554470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función lineal es :@0.105654:0.583803:0.217476:0.583803:0.217476:0.569557:0.105654:0.569557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suficiente determinar :@0.105654:0.598890:0.251767:0.598890:0.251767:0.584645:0.105654:0.584645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos puntos de la :@0.105654:0.613978:0.220356:0.613978:0.220356:0.599733:0.105654:0.599733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma.:@0.105654:0.629065:0.153365:0.629065:0.153365:0.614820:0.105654:0.614820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.135707:0.461121:0.257788:0.461121:0.257788:0.444221:0.135707:0.444221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Grafica :@0.311168:0.167787:0.371003:0.167787:0.371003:0.150886:0.311168:0.150886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en  tu  cuaderno  las  funciones  () 2:@0.374559:0.167787:0.666225:0.168394:0.666225:0.152724:0.374559:0.152117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.643836:0.169072:0.653952:0.169072:0.653952:0.153499:0.643836:0.153499:0.000000
=:@0.741465:0.169072:0.751582:0.169072:0.751582:0.153499:0.741465:0.153499:0.000000
+:@0.776495:0.169072:0.786611:0.169072:0.786611:0.153499:0.776495:0.153499:0.000000
fx:@0.612269:0.168394:0.634124:0.168394:0.634124:0.152033:0.612269:0.152033:0.000000:0.000000
xy:@0.667497:0.168394:0.694254:0.168394:0.694254:0.152033:0.667497:0.152033:0.000000:0.000000
x:@0.724291:0.168394:0.731754:0.168394:0.731754:0.152033:0.724291:0.152033:0.000000
x:@0.765126:0.168394:0.772590:0.168394:0.772590:0.152033:0.765126:0.152033:0.000000
g() 2:@0.707171:0.168394:0.763855:0.168394:0.763855:0.152724:0.707171:0.152724:0.000000:0.000000:0.000000:0.000000:0.000000
1  y :@0.788216:0.168394:0.817225:0.167787:0.817225:0.152117:0.788216:0.152724:0.000000:0.000000:0.000000:0.000000:0.000000
establece:@0.820994:0.167787:0.896656:0.167787:0.896656:0.150886:0.820994:0.150886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.896656:0.167787:0.900692:0.167787:0.900692:0.152117:0.896656:0.152117:0.000000
semejanzas y diferencias.:@0.311175:0.184383:0.493771:0.184383:0.493771:0.168713:0.311175:0.168713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139565:0.470369:0.139565:0.470369:0.122665:0.344861:0.122665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,5:@0.369517:0.657953:0.392036:0.657953:0.392036:0.641476:0.369517:0.641476:0.000000:0.000000:0.000000
5:@0.432618:0.685367:0.441987:0.685367:0.441987:0.668891:0.432618:0.668891:0.000000
0:@0.382192:0.685353:0.391561:0.685353:0.391561:0.668877:0.382192:0.668877:0.000000
10:@0.470405:0.685367:0.489144:0.685367:0.489144:0.668891:0.470405:0.668891:0.000000:0.000000
15:@0.512612:0.685367:0.531351:0.685367:0.531351:0.668891:0.512612:0.668891:0.000000:0.000000
20:@0.554947:0.685367:0.573686:0.685367:0.573686:0.668891:0.554947:0.668891:0.000000:0.000000
25:@0.597155:0.685367:0.615893:0.685367:0.615893:0.668891:0.597155:0.668891:0.000000:0.000000
30:@0.639070:0.685367:0.657808:0.685367:0.657808:0.668891:0.639070:0.668891:0.000000:0.000000
35:@0.681825:0.685367:0.700563:0.685367:0.700563:0.668891:0.681825:0.668891:0.000000:0.000000
40:@0.724160:0.685367:0.742898:0.685367:0.742898:0.668891:0.724160:0.668891:0.000000:0.000000
45:@0.766093:0.685367:0.784832:0.685367:0.784832:0.668891:0.766093:0.668891:0.000000:0.000000
50:@0.808154:0.685367:0.826893:0.685367:0.826893:0.668891:0.808154:0.668891:0.000000:0.000000
1:@0.384913:0.636775:0.394282:0.636775:0.394282:0.620299:0.384913:0.620299:0.000000
1,5:@0.369480:0.614418:0.391999:0.614418:0.391999:0.597942:0.369480:0.597942:0.000000:0.000000:0.000000
2:@0.382356:0.593021:0.391725:0.593021:0.391725:0.576545:0.382356:0.576545:0.000000
2,5:@0.369480:0.571679:0.391999:0.571679:0.391999:0.555203:0.369480:0.555203:0.000000:0.000000:0.000000
3:@0.382575:0.551475:0.391945:0.551475:0.391945:0.534999:0.382575:0.534999:0.000000
3,5:@0.369462:0.529996:0.391981:0.529996:0.391981:0.513520:0.369462:0.513520:0.000000:0.000000:0.000000
x:@0.406757:0.512752:0.414827:0.512752:0.414827:0.496109:0.406757:0.496109:0.000000
x:@0.826797:0.666535:0.834866:0.666535:0.834866:0.649892:0.826797:0.649892:0.000000
Shutterstock, 635107742.:@0.089849:0.391061:0.089849:0.315782:0.078461:0.315782:0.078461:0.391061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los quipus fueron el :@0.106105:0.708135:0.244763:0.708135:0.244763:0.693889:0.106105:0.693889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principal sistema de :@0.106105:0.723222:0.243037:0.723222:0.243037:0.708977:0.106105:0.708977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
registro de información :@0.106105:0.738310:0.265586:0.738310:0.265586:0.724065:0.106105:0.724065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los incas. Mediante  :@0.106105:0.753397:0.260627:0.753397:0.260627:0.739152:0.106105:0.739152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cordeles  anudados :@0.106105:0.768485:0.239889:0.768485:0.239889:0.754240:0.106105:0.754240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de distintos colores se :@0.106105:0.783573:0.257126:0.783573:0.257126:0.769327:0.106105:0.769327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
registraba información :@0.106105:0.798660:0.260409:0.798660:0.260409:0.784415:0.106105:0.784415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contable, basada en un :@0.106105:0.813748:0.265001:0.813748:0.265001:0.799503:0.106105:0.799503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenamiento decimal :@0.106105:0.828835:0.262336:0.828835:0.262336:0.814590:0.106105:0.814590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que les permitía :@0.106105:0.843923:0.217071:0.843923:0.217071:0.829678:0.106105:0.829678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representar cantidades, :@0.106105:0.859011:0.265201:0.859011:0.265201:0.844765:0.106105:0.844765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desde las unidades :@0.106105:0.874098:0.236824:0.874098:0.236824:0.859853:0.106105:0.859853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta las decenas de :@0.106105:0.889186:0.246708:0.889186:0.246708:0.874941:0.106105:0.874941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
millares.:@0.106105:0.904274:0.159897:0.904274:0.159897:0.890028:0.106105:0.890028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.136439:0.682374:0.266163:0.682374:0.266163:0.664072:0.136439:0.664072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.50. :@0.096359:0.933650:0.144696:0.933650:0.144696:0.922895:0.096359:0.922895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir y reconocer una función lineal de manera algebraica y gráfica (con o sin el empleo de la tecnología).:@0.144696:0.933650:0.644694:0.933650:0.644694:0.923679:0.144696:0.923679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diferencia es que la una pasa por el origen y la otra se desplaza.:@0.506699:0.179316:0.813841:0.179316:0.813841:0.169344:0.506699:0.169344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La semejanza es que son líneas rectas.:@0.506699:0.190423:0.683651:0.190423:0.683651:0.180451:0.506699:0.180451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000