Question

Un fabricante de ventanas cuadradas cobra a razón de 3 euros por cada metro de marco y 12 euros por el cristal, sean cuales sean las dimensiones.

a)cuanto costara una ventana de 2 metros de lado.
b) por una ventana hemos pagado 60 euros¿cuanto mide su lado?
c)encuentra la expresión que nos de el precio de la ventana en función de las dimensiones y realiza una representación gráfica de esta función.

Answer 1

Givens

• The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.

If a window has 2 meters side, how much would it cost? (A)

Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.

Specifically, the function of the cost is:
`C(x)=3x+12`, where
`x` represents meters of sides. (C)

If we paid 60 euros, the dimensions are (B)

`60=3x+12\\60-12=3x\\x=(48)/(3)=16`

The window has 16 meters between the four sides, which gives 5 meters per side.

The graph of the function is attached.