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Math·Advanced Math·Nonlinear functions

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A conservation scientist implemented a program to reduce a certain invasive insect population in an area. The given function estimates this insect species’ population $x$ years after $2008$, where $x\le 8$. Which of the following is the best interpretation of $4,000$ in this context?

$f(x)=4,000(0.90{)}^x$

A

The estimated percent decrease in the insect population for this species and area every 8 years after 2008

B

The estimated initial insect population for this species and area in 2008

C

The estimated percent decrease in the insect population for this species and area each year after 2008

D

The estimated insect population for this species and area 8 years after 2008