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

Answer:

$y=5,067(0.989)^{x}$

Step-by-step 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