Question

The function f(x) = 10,000(0.898)x , where x is the time in years, models a declining lemming population. How many lemmings will there be in 5 years?

Answer 1

the specific answer is 5,840

Answer 2

Given the following function:

`f(x)=10000(0.898)^x`

Where x is the time in years, models a declining lemming population.

We will find the number of lemmings after 5 years

So, we will substitute x = 5

`f(5)=10,000(0.898)^5=10,000*0.583958=5839.58095`

Rounding to the nearest whole number

so, the number of lemmings after 5 years = 5840