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You purchased a new car for $32,000. The value
of the car decreases by 12% each year. Which
function could be used to model the value of the
car V after years?
a. V(t)=32,000(1+0.12)'
b. V()=32,000(1 -0.12)'
c. V(t)=32,000(0.12)'
d. V(t)=32,000 - 0.12r

Respuesta :

MrRoyal

The function that could be used to model the value of the car V after years is V(t) = 32000(1 - 0.12)^t

How to determine the function?

The given parameters are:

Initial value, a = 32000

Rate, r = 12% --- depreciation rate

Since the value of the function decreases with time, the equation of the exponential function would be:

V(t) = a(1 - r)^t

So, we have:

V(t) = 32000(1 - 12%)^t

Express as decimal

V(t) = 32000(1 - 0.12)^t

Hence, the function that could be used to model the value of the car V after years is V(t) = 32000(1 - 0.12)^t

Read more about exponential functions at:

https://brainly.com/question/11464095

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