Question
Sarah bought a used car. The value of the car, in dollars, is a function of time, in years, as represented by the expression
, where
is the time, in years, since she purchased the car.
Which of the following statements describes the meaning of 0.10 in the expression?
A.
the amount she paid for the car
B.
the percentage by which the value of the car increases each year
C.
the percentage by which the value of the car decreases each year
D.
the amount of time, in years, that has passed since she bought the car
, where
is the time, in years, since she purchased the car.
Which of the following statements describes the meaning of 0.10 in the expression?
A.
the amount she paid for the car
B.
the percentage by which the value of the car increases each year
C.
the percentage by which the value of the car decreases each year
D.
the amount of time, in years, that has passed since she bought the car
Answers
GPT-4o mini
To determine the meaning of 0.10 in the expression that represents the value of the car as a function of time, we need to understand what happens to the value of the car over time.
Given that 0.10 is likely a decay factor in the context of the value of a used car, it will typically represent a decrease in value over time. If the value decreases each year by a certain percentage, this means that the value is reducing, not increasing.
Since 0.10 suggests a decrease, it indicates that the value of the car decreases by 10% each year.
Thus, the correct answer is:
C. the percentage by which the value of the car decreases each year.
Given that 0.10 is likely a decay factor in the context of the value of a used car, it will typically represent a decrease in value over time. If the value decreases each year by a certain percentage, this means that the value is reducing, not increasing.
Since 0.10 suggests a decrease, it indicates that the value of the car decreases by 10% each year.
Thus, the correct answer is:
C. the percentage by which the value of the car decreases each year.