Answer:
Melinda's loan will be equal to the value of the car after 10 months.
Step-by-step 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.
