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.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is