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

Answer:

There will be 96 lemmings in 7 years

Step-by-step 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