Question

Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?

Answer 1

The y-intercept (initial value) is 10 and it has a slope of -1, so this is the first graph.

Answer 2

The correct option is 1.

Explanation:

It is given that the Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1.

In each graph x axis represents the number of incomplete chore and the y-axis represent the amount she have.

It means if se complete all chore, then she have the total amount $10. So the coordinate of y-axis is (0,10).

For each chore that she does not complete, she must repay her parents $1, it means if the number of incomplete chore is 1 then shen have,

`10-1=9`

So the second point is (1,9).

So the function is in the form of,

`y=10-x`

Where x is the number of incomplete chore.

the total amount will zero if the number of incomplete chore is 10, so the x-intercept is (10,0).

Since the value of amounts decrease by 1 unit for each incomplete chore, therefore the slope of the line must be -1.

According to the x and y-intercepts we can say that the option 1 is correct.