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?

Question

(1 point)

Answer 1

To find the correct slope of the graph representing the remaining balance of Barton's car loan after each monthly payment, we need to consider how the remaining balance decreases with each payment.

1. Starting Balance: Barton's initial loan amount is $2,625.
2. Monthly Payment: Each month, he pays $175.

The slope of the line in this context represents the rate of change of the remaining balance per month. Since the balance decreases with each payment of $175:

• The slope, m, can be calculated as:

  \[ m = -\frac{\text{change in balance}}{\text{change in time}} = -\frac{175}{1} \]

This means the slope is -175, indicating that for every month (1 month), the remaining balance decreases by $175.

So, the example that models the correct slope would be \( m = -175 \).