Práctica 2: Conectar ecuaciones con gráficas (Alg1.2.11)

[size=200][color=#0000ff][b][icon]/images/ggb/toolbar/mode_mirroratpoint.png[/icon]Gráficas de dos ecuaciones[/b][/color][/size]
Aquí hay dos gráficas que representan situaciones, similares a las que has visto en actividades anteriores.
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[/img][br][size=150]La primera gráfica representa: [math]a=450-20t[/math]. Describe la relación entre los galones de agua en un tanque y el tiempo en minutos.[br] [/size][br]¿En qué parte de la gráfica podemos observar el 450?
¿En qué parte de la gráfica podemos observar el -20? [br][br]Observa bien la gráfica y recuerda los temas que has visto hasta el momento.
¿Qué significan estos números en esta situación?
[img]data:image/png;base64,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[/img][br][size=150]La segunda gráfica representa: [math]6x+9y=75[/math]. Describe la relación entre libras de almendras e higos y la cantidad de dólares que Clara gastó en ellos.[br][br]Supongamos que un compañero de clase dice: "No estoy seguro de que la gráfica represente[/size] [math]6x+9y=75[/math] porque no veo el 6, 9 o 75 en la gráfica. [br][br]¿Cómo le mostrarías a tu compañero que la gráfica sí representa esta ecuación?
[size=200][color=#0000ff][b][icon]/images/ggb/toolbar/mode_pen.png[/icon]¡Relaciona![/b][/color][/size]
Relaciona cada una de las ecuaciones con su pendiente e intersección con el eje y:
[b][size=150][size=200][color=#1155cc]AQUÍ TERMINA LA PRÁCTICA...[br][br]¡GRACIAS POR TU PARTICIPACIÓN![/color][/size][/size][/b]
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Information: Práctica 2: Conectar ecuaciones con gráficas (Alg1.2.11)