Answer:
[tex]y=5,067(0.989)^{x}[/tex]
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
[tex]y=a(b)^{x}[/tex]
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
[tex]a=5,067\ manatees[/tex]
[tex]b=(100\%-1.1\%)=98.9\%=0.989[/tex]
substitute
[tex]y=5,067(0.989)^{x}[/tex] ----> exponential function that represent this scenario
