Respuesta :

Answer:

[tex]\$47\ per\ week[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In his problem

The amount of savings per week  is equal to the constant of proportionality k or slope of the linear equation

so

Looking at the graph

take the point (2,94)

x=2 weeks, y=$94

Find the value of k

[tex]k=\frac{y}{x}[/tex]

substitute the values of x and y

[tex]k=\frac{94}{2}[/tex]

[tex]k=\$47\ per\ week[/tex]