Question

The graph represents the balance on Harrison’s car loan in the months since purchasing the car.

Which statement describes the slope of the line?

The loan balance decreases $500 per month.
Harrison makes a monthly payment of $250.
The loan balance increases $250 per month.
Harrison increases his monthly payment by $500 each month.

Answer 1

B. Harrison makes a monthly payment of $250.

Explanation:

correct on edge ;))

Answer 2

B. Harrison makes a monthly payment of $250.

Explanation:

We have been given a graph that represents the balance on Harrison’s car loan in the months since purchasing the car.

Let us see which of the given options describes the slope of the line.

Let us find slope of our given line.

`\text{Slope}=(y_2-y_1)/(x_2-x_1)`

`\text{Slope}=(7000-5000)/(0-8)`

`\text{Slope}=(2000)/(-8)`

`\text{Slope}=-250`

A. The loan balance decreases $500 per month.

We can see from slope of our given line that loan balance is decreasing $250 per month, therefore, option A is incorrect.

B. Harrison makes a monthly payment of $250.

We have seen that our slope is negative 250 this means that loan balance is decreasing $250 per month. This implies that Harrison makes a monthly payment of $250, therefore, option B is the correct choice.

C. The loan balance increases $250 per month.

We can see from our graph that our slope is negative, which means that loan amount is decreasing, therefore, option C is incorrect.

D. Harrison increases his monthly payment by $500 each month.

Since we know that linear functions have a constant rate of change, therefore, option D is not true regarding slope of the line.