Question

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

Answer 1

I think D or A
hope this help

Answer 2

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

Explanation:

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

• Initial population (a): 2,700
• Growth rate(r): 0.04 per year (decimal form, 4/100=0.04)

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.