The required function of the situation is f(x) = 2670x.
Step-by-step explanation:
Given,
Population is = 3000
Evert year it is decreased by 11%.
To find the function of the given situation.
Formula
If the original population is a and is decreased by b% the population after 1 year will be a×[tex]\frac{100-b}{100}[/tex]
After x year the population will be = a×[tex]\frac{100-b}{100}[/tex]×x = [tex]ax\frac{100-b}{100}[/tex]
Now,
Let after x years the population will be,
f(x) = 3000x×[tex]\frac{100-11}{100}[/tex]
= 2670x
Hence,
The required function of the situation is f(x) = 2670x.
