The following function models the population of rabbits, in thousands, in a state x years after 1990.
[tex]f(x)=110\cdot(1.004)^x[/tex]
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
[tex]\begin{gathered} f(22)=110\cdot(1.004)^{22} \\ f(22)=110\cdot(1.091796) \\ f(22)=120.09756 \end{gathered}[/tex]
That is approximately 120 thousands or 120,000
