Question

the current value of a new car is 18,000. the car will depreciate 15% per year over the next 5 year. which exponential equation models this situation

Answer 1

The exponential equation that models this situation is:

$V(t) = 18000(0.85)^t, 0 \leq t \leq 5$.

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

For this problem, the parameters are:

A(0) = 18000, r = 0.15.

Hence the equation for the value of the car over the next 5 years is:

$A(t) = A(0)(1 - r)^t$

$A(t) = 18000(1 - 0.15)^t$

$V(t) = 18000(0.85)^t, 0 \leq t \leq 5$.

More can be learned about exponential functions at brainly.com/question/25537936

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