Question

Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?

Answer 1

hi there

Equal when 10000 - 250x = 8000 - 50 x

2000 = 200x
x = 10 answer A

i hope this helps

Answer 2

Melinda's loan will be equal to the value of the car after 10 months.

Explanation:

We are given,

Balance on the loan is given by, y = 10,000 - 250x.

Also, Value of the car is given by, y = 8,000 - 50x.

Since, it is required to make Melinda's loan equal to the value of the car.

We have,

10,000 - 250x = 8,000 - 50x.

i.e. 250x - 50x = 10,000 - 8,000

i.e. 200x = 2,000

i.e. x = 10.

Thus, Melinda's loan will be equal to the value of the car after 10 months.