Question

Barton took out a car loan of $2,625. He makes monthly payments of $175. The graph represents the remaining balance after each payment. Which example models the correct slope?
(1 point)
525- 700
O m =
1112
0 m=
2,450 2.625
0 1
O m = .
1,050- 1,225
9 8
O т =
1,050 1,225
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(0)

Answer 1

To determine the correct slope for Barton’s car loan, we can assess the relationship between the remaining balance and the number of payments made.

Barton took out a car loan of $2,625 and makes monthly payments of $175. The remaining balance decreases by $175 for each payment made.

To calculate the slope (m), we can use the following formula:

\[
m = \frac{\text{change in remaining balance}}{\text{change in number of payments}}
\]

In this case, the change in the remaining balance is -175 (since the balance decreases), and the change in the number of payments is +1 (for each month).

Therefore, the slope is:

\[
m = \frac{-175}{1} = -175
\]

This means that for each payment (which we can denote as 1 payment), the remaining balance decreases by $175.

If you're looking at the options in your question, none of the provided slopes directly state -175. However, it seems they are represented as absolute values or in different forms, so you would need to look for the slope that represents a decrease in the loan balance by $175 per month.

If you have more details about the options provided or if the options involve calculations or graphs that represent the situation differently, please share them, and I can help clarify further!