Question

The function fx) = 110(1.004)* models the population of rabbits, inthousands, in a state x years after 1990. What is the approximatepopulation of the rabbits in 2012?A 115,000aora8. 120,000Input ->-1990C 310,085,000aayo338,550,000TE

Answer 1

The following function models the population of rabbits, in thousands, in a state x years after 1990.

`f(x)=110\cdot(1.004)^x`

What is the approximate population of rabbits in 2012?

Count the number of years after 1990 to 2012.

That's 22 years so we have x = 22

Let us substitute x = 22 into the above function

`\begin{gathered} f(22)=110\cdot(1.004)^(22) \\ f(22)=110\cdot(1.091796) \\ f(22)=120.09756 \end{gathered}`

That is approximately 120 thousands or 120,000