Question

A park started with 12 oak trees, and the number of oak trees increased at a rate of 25% each year. Write the function that models the situation, substituting numerical values for A and r into the expression.

f(x)=A(1+r)X

Answer 1

`f(x) = 12(1.25)^(x)`

Explanation:

The number of oak trees after x years is given by a function in the following format:

`f(x) = A(1+r)^(x)`

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
`A = 12`

The number of oak trees increased at a rate of 25% each year.

This means that
`r = 0.25`

So

`f(x) = A(1+r)^(x)`

`f(x) = 12(1+0.25)^(x)`

`f(x) = 12(1.25)^(x)`