Suppose the population of a town is 2,700 and is growing 4% each year.

a. write an equation to model the population growth.

b. predict the population after 12 years.

a.

b. 4,322.

Step-by-step explanation:

a. We have been given that the population of a town is 2,700 and is growing 4% each year.

We can see that population of town is increasing exponentially. Since an exponential function is in form: , where,

a = Initial value.

b= For growth b is in form (1+r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

Upon substituting a=2,700 and r=0.04 we will get,

Therefore, the equation models the population growth.

b. To find the population after 12 years we will substitute x=12 in our population growth model.

Therefore, the population after 12 years will be 4,322.