Question

Number of weeks2. Joshua saves $50 every two weeks he works.The total amount of money Joshua saves isproportional to the number of weeks he works.Joshua's SavingsWhich of the following graphs shows the amountof money, y, Joshua saves when he works for xweeks?

Answer 1

Joshua saves $50 every two weeks he works.

The total amount of money Joshua saves is proportional to the number of weeks he works.

If Joshua saves $50 every two weeks then it means he saves $50/2 = $25 each week.

Let y represent the total amount of money Joshua saves.

Let x represent the number of weeks he works.

Then we can write

$y=25x$

Here 25 is the slope of the equation.

The y-intercept is 0 which means that the graph must start at the origin (0, 0)

You can substitute any value of x (number of weeks) and get the corresponding y value (total amount of savings)

As you can see, this graph represents the above relationship between the total amount of money Joshua saves and the number of weeks he works.

The y-intercept is 0 and the slope is 25

$slope=\frac{50-25}{2-1}=\frac{25}{1}=25$

Therefore, graph C is the correct answer.