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?

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

Step-by-step explanation:

Hi, to answer this question we have to equal both equations:

Melinda’s loan will be equal to the value of the car

y = y

10,000 – 250x = 8,000 – 50x

Solving for x:

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

2,000 = 200x

2,000/200 =x

10 = x

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

Feel free to ask for more if needed or if you did not understand something.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

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