Question

The 2011 population of manatees in Florida Was 5,067. The animal is thought to be experiencing annual exponential decay of 1.1%. What is the function rule for this scenario?

Answer 1

`y=5,067(0.989)^(x)`

Explanation:

we know that

In this problem we have a exponential function of the form

`y=a(b)^(x)`

where

y ----> the population of manatees in Florida since 2011

x ----> the time in years

a is the initial value

b is the base

we have

`a=5,067\ manatees`

`b=(100\%-1.1\%)=98.9\%=0.989`

substitute

`y=5,067(0.989)^(x)` ----> exponential function that represent this scenario