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

\(F(x)=a(1+r)^x\)

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,

\(F(x)=5(1+0.05)^x\)

To get,

\(F(x)=5(1.05)^x\)

Therefore

\(F(x)=5(1.05)^x\)

Suppose that f is an exponential function with the percentage growth rate of 5%

F(0)=5

By using,

The exponential equation is

\(F(x)=a(1+r)^x\)

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,

\(F(x)=5(1+0.05)^x\)

To get,

\(F(x)=5(1.05)^x\)

Therefore

\(F(x)=5(1.05)^x\)