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

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
Use the exponential equation:
$f\left(x\right)=a{\left(1+r\right)}^{x}$
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: $f\left(x\right)=4{\left(1+0.05\right)}^{x}$
$f\left(x\right)=4{\left(1.05\right)}^{x}$