Question

The florida manatee population is 3,000 and is decreasing by 11% each year. Write a function for this situation.

Answer 1

The required function of the situation is f(x) = 2670x.

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×
`(100-b)/(100)`

After x year the population will be = a×
`(100-b)/(100)`×x =
`ax(100-b)/(100)`

Now,

Let after x years the population will be,

f(x) = 3000x×
`(100-11)/(100)`

= 2670x

Hence,

The required function of the situation is f(x) = 2670x.