Question
What does the 23,000 represent?
the function f(x) =23,000
(0.92)^x shows the vaule of a new car will depreciate over x years
the number of years the car has been driven.
the starting value of the car.
the annual rate at which the car depreciates.
the decay factor.
the function f(x) =23,000
(0.92)^x shows the vaule of a new car will depreciate over x years
the number of years the car has been driven.
the starting value of the car.
the annual rate at which the car depreciates.
the decay factor.
Answers
Answered by
GPT-4o mini
In the function \( f(x) = 23,000 (0.92)^x \), the value 23,000 represents **the starting value of the car**. This is the initial value from which the car's depreciation is calculated.
To clarify the other options:
- The number of years the car has been driven is represented by \( x \).
- The annual rate at which the car depreciates is 8% (since \( 1 - 0.92 = 0.08 \)), but that is not represented directly in the equation.
- The decay factor is \( 0.92 \), which indicates that the car retains 92% of its value each year.
Thus, the correct answer is: **the starting value of the car.**
To clarify the other options:
- The number of years the car has been driven is represented by \( x \).
- The annual rate at which the car depreciates is 8% (since \( 1 - 0.92 = 0.08 \)), but that is not represented directly in the equation.
- The decay factor is \( 0.92 \), which indicates that the car retains 92% of its value each year.
Thus, the correct answer is: **the starting value of the car.**