The population of a town is 6500 and is increasing at a rate of 4% each year. create a function for this scenario. at this rate, approximately what will the town's population be in 4 years?

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

Where is the initial population and is the population in year n

In year 2

It can also be written as:

Taking out common factor

Taking out common factor (1 + 0.04)

Taking out again common factor

Simplifying

So

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

step-by-step explanation: