Question

In 1995, wolves were introduced into Yellowstone Park.

The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.



Determine the value of `w(25)`.


What does this value say about the wolf population?

Answer 1

w(25) = 96

There are 96 wolves in the year 2020

Explanation:

Given:

`w(x)=14\cdot 1.08^(x)`

w(25) =

`w(25)=14\cdot 1.08^(25)\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96`

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves