Suppose the population of a town is 2,700 and is growing 4% each year. write an equation to model the population growth. predict the population after 12 years.

a.) y= 2,700*4^x about 45,298,483,200 people

b.) y= 2,700*1.04^x; about 4,323 people

c.) y= 2,700*4^x ; about 4,323 people

d.) y= 4*2,700^x ; about 129,600 people

B)y= 2,700*1.04^x; about 4,323 people.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

We have to apply the formula:

y (x) = a(1 +r)∧x

Where  

x= years

Replacing with the values given:

y(x) = 2,700 ( 1 + 0.04)∧x

y(x) = 2,700 ( 1 .04)∧x

For 12 years, we replace "x" for 12.

y (12) = 2,700 ( 1 .04)∧12

y (12) = 2,700 ( 1.6010)

y (12) = 4,323 people

So, the correct option is B)y= 2,700*1.04^x; about 4,323 people.