Question

A rodent population increases each year according to the function f(x)=7•2^x.Identify the initial value and describe the growth of the rodent population.

Answer 1

Given: A rodent population increases each year according to the function f(x)=7•2^x.

Find: Identify the initial value and describe the growth of the rodent population.

Step-by-step explanation: for initial value x=0

`\begin{gathered} f(x)=7*2^x \\ x=0 \\ f(x)=7 \end{gathered}`

and the growth of the rodent population is

`2^x`

that means it will be double every every year

Final answer: the population starts at 7 and doubles every year.