Question

I just need the second part please! It is an exponential function

Answer 1

The volume of the cases in 2001 is given below as

`=17.8billion`

The percentage increase from 2000 is given below as

`=4\%`

The exponential function is given below as

`\begin{gathered} y=ab^t \\ where, \\ b=1+r \\ r=4\% \end{gathered}`

By substituting the values, we will have

`\begin{gathered} y=ab^(t) \\ 17.8=a(1+(4)/(100))^1 \\ 1.04a=17.8 \\ (1.04a)/(1.04)=(17.8)/(1.04) \\ a=17.12billion \end{gathered}`

Hence,

The final answer is YES, THE EXPONENTIAL MODEL FUNCTION IS APPROPRIATE

Therefore,

The exponential model after y years will be

`C(y)=17.12(1.04)^y\text{ }billion\text{ }cases`