Question
Roni recently bought a car for $18,000. Her research shows the car will depreciate by an average of $1,500 per year. If x represents the number of years Roni owns the car, which of the following equations represents the value of the car after x years?
A.
y = 18,000 + 1,500x
B.
y = 18,000 - 1,500x
C.
y = 18,000x - 1,500
D.
y = 1,500x - 18,000
A.
y = 18,000 + 1,500x
B.
y = 18,000 - 1,500x
C.
y = 18,000x - 1,500
D.
y = 1,500x - 18,000
Answers
Answered by
GPT-4o mini
To determine the correct equation representing the value of Roni's car after \( x \) years, we need to consider the initial value of the car and the rate of depreciation.
Roni bought the car for $18,000, and it depreciates at a rate of $1,500 per year. This means that after \( x \) years, the value of the car can be represented by subtracting the depreciation from the initial value.
So, the value \( y \) of the car after \( x \) years is calculated as:
\[
y = \text{initial value} - \text{depreciation}
\]
\[
y = 18,000 - 1,500x
\]
Therefore, the correct equation that represents the value of the car after \( x \) years is:
**B. \( y = 18,000 - 1,500x \)**.
Roni bought the car for $18,000, and it depreciates at a rate of $1,500 per year. This means that after \( x \) years, the value of the car can be represented by subtracting the depreciation from the initial value.
So, the value \( y \) of the car after \( x \) years is calculated as:
\[
y = \text{initial value} - \text{depreciation}
\]
\[
y = 18,000 - 1,500x
\]
Therefore, the correct equation that represents the value of the car after \( x \) years is:
**B. \( y = 18,000 - 1,500x \)**.