Question

I need help on a problem

Answer 1

The form of the exponential function is

`f(x)=a(b)^x`

a is the initial amount

b is the growth/decay factor

If b > 1, then it is a growth factor

If b < 1, then it is a decay factor

Since the exponential function is

`f(t)=1100(0.9945)^t`

Then

a = 1100

b = 0.9945

Since 0.9945 < 1, then

The factor is decay

To change it to percent multiply it by 100

0.9945 x 100 = 99.45%

The rate of decrease = 100% - 99.45% = 0.55%

The function is decay exponentially with a factor of 0.55% every week