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

Step-by-step explanation:

It was given that, florida manatee population is 3,000 and is decreasing by 11% each year.

We want to write a function for this situation.

Since the population is decreasing annually, it is modelled by:

We substitute the give initial population and rate of decrease to get:

This simplifies to:

Step-by-step explanation:

According to the described situation, the current manatee population is 3000, if it decreases each year this means in one year the manatee population will be:

(1)

And the next year:

(2)

This mean each year the population will be less than last year.

So, in this case we can use the following function to express this decrease:

(3)

Where:

Is the number of manaties at time

is the current number of manaties (this year)

is the decrease rate of the population

is the time (in years)

For example, if we want to estimate the number of manaties for next year, :

If we want to estimate the number of manaties in two yeas, :

60

step-by-step explanation: