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The selling price of a car is $13,500. Each year, it loses 11% of its value. Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.

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3 votes

Answer:


f(t) = 13,500(0.89)^t

Explanation:

The formula for the exponential function is given as
f(t) = a(b)^t

Where,

base value = a = $13,500

b = 1 - % decrease = 1 - 11% = 1 - 0.11

b = 0.89

Substitute the values of a and b into the exponential function,
f(t) = a(b)^t, respectively.

Thus:


f(t) = 13,500(0.89)^t

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