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

Suppose that f is an exponential function with percentage growth rate of 5% and that
f(0) = 5.
Find a formula for
f(x).
f(x) =
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Given that:
Suppose that f is an exponential function with the percentage growth rate of 5%
F(0)=5
By using,
The exponential equation is
$F\left(x\right)=a\left(1+r{\right)}^{x}$
Where a is the initial value and r is the growth rate/decay rate
By using above form of the exponential equation,
Here,
F(0)=5
Then we get
A=5
Growth rate=5%
=0.05
To get,
R=0.05
Plug the values of r=0.05 and a=5 in the above exponential form.
To get,
$F\left(x\right)=5\left(1+0.05{\right)}^{x}$
To get,
$F\left(x\right)=5\left(1.05{\right)}^{x}$
Therefore
$F\left(x\right)=5\left(1.05{\right)}^{x}$