Question

the graph represents the balance on harrisons car loan 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 $50 each month. graph of car loan payments with x - axis as months since purchase and y - axis as loan balance ($), line starting at (0,7000) and ending at (26,0)

Explanation:

Step1: Identify two points

The line passes through $(0, 7000)$ and $(28, 0)$.

Step2: Calculate the slope

Slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{slope} = \frac{0 - 7000}{28 - 0} = \frac{-7000}{28} = -250$

Step3: Interpret the slope

A slope of $-250$ means the loan balance decreases by $250$ dollars per month, which corresponds to a $250 monthly payment.

Answer:

B. Harrison makes a monthly payment of $250.