Question

The function f(x) = 200(0.901), where x is the time in

years, models a declining lemming population. How
many lemmings will there be in 7 years?

Answer 1

There will be 96 lemmings in 7 years

Explanation:

we have

`f(x)=200(0.901)^(x)`

This is a exponential function

where

x ------> the time in years

f(x) ----> lemming population

so

For x=7 years

substitute in the function

`f(7)=200(0.901)^(7)`

`f(7)=96.4`

There will be 96 lemmings in 7 years