Suppose that f is an exponential function with percentage growth rate of 5% and that f(0) = 4. Find a formula for f(x).

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Answered question

2021-06-08

Suppose that f is an exponential function with percentage growth rate of 5% and that f(0)=4. Find a formula for f(x).

Answer & Explanation

SchepperJ

SchepperJ

Skilled2021-06-09Added 96 answers

Use the exponential equation:
f(x)=a(1+r)x
where aa is the initial value and rr is the growth rate/decay.
Given f(0)=4, then a=4. Since we are given a growth rate, then r=0.05: f(x)=4(1+0.05)x
f(x)=4(1.05)x

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-10Added 2605 answers

Answer is given below (on video)

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