preprekomW
2021-10-06
Answered

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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unett

Answered 2021-10-07
Author has **119** answers

Use the exponential equation:

$f\left(x\right)=a{(1+r)}^{x}$

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:$f\left(x\right)=4{(1+0.05)}^{x}$

$f\left(x\right)=4{\left(1.05\right)}^{x}$

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:

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