Answer:
Option: B is the correct answer.
B. Exponential
Step-by-step explanation:
We know that a exponential function is given by:
[tex]f(x)=a(1\pm r)^x[/tex]
where a is the initial value of the function.
and r is the rate of increase or decrease.
if r decreases then we have the total change as: 1-r
and if r increases then we have the total change as: 1+r
Here r=10%=0.10
a= 500
Hence, we have:
the population function f(t) over the time t years is given by:
[tex]f(t)=500(1-0.10)^t\\\\f(t)=500(0.90)^t[/tex]
Hence, the model that best fits the given situation is: Exponential.
