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?1point

Answer 1

To determine the correct slope for the problem, we first need to understand what the slope represents in this context. The slope of a linear model represents the rate of change of the remaining balance on the car loan with respect to the number of payments made.

1. **Initial Loan Amount (y-intercept)**: Barton took out a car loan of $2,625, so the initial balance (y-intercept) is $2,625.
2. **Monthly Payment Amount**: Barton makes monthly payments of $175.

The slope of the line representing the remaining balance can be calculated as follows:

- The remaining balance decreases by $175 for each payment made.
- This means the slope is \(-175\) (negative because the balance is decreasing).

In summary, the slope that models the remaining balance of the loan after each monthly payment is \(-175\). If you need to express this in relation to the multiple-choice examples provided, look for the option that indicates a slope of \(-175\) or an equivalent representation.