Question

2.) The graph of a proportional relationship is shown.

Money
Total Savings (5)
Number of Weeks
What is the amount of savings per week?​

Answer 1

`\$47\ per\ week`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

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

`k=(y)/(x)`

substitute the values of x and y

`k=(94)/(2)`

`k=\$47\ per\ week`