Answer:
[tex]f(x) = 12(1.25)^{x}[/tex]
Step-by-step explanation:
The number of oak trees after x years is given by a function in the following format:
[tex]f(x) = A(1+r)^{x}[/tex]
In which A is the initial number of oak trees, and r is the growth rate, as a decimal.
A park started with 12 oak trees
This means that [tex]A = 12[/tex]
The number of oak trees increased at a rate of 25% each year.
This means that [tex]r = 0.25[/tex]
So
[tex]f(x) = A(1+r)^{x}[/tex]
[tex]f(x) = 12(1+0.25)^{x}[/tex]
[tex]f(x) = 12(1.25)^{x}[/tex]
