Question

Suppose the population of a town is 9,800 and is growing 2% each year.a. Write an equation to model the population growth.b. Predict the population after 7 years. y = 9,800 • 1.02x ; about 11,257 people y = 2 • 9,800x ; about 137,200 people y = 9,800 • 2x ; about 11,257 people y = 9,800 • 2x ; about 1,254,400 people

Answer 1

Answer: First option is correct.

Population after 7 years becomes 11257.

Explanation:

Since we have given that

Number of population of a town = 9800

Rate of growth = 2%

Number of years = 7

We need to find the number of population after 7 years:

`A=P(1+(r)/(100))^n\\\\Here,\\\\\text{A denotes Amount}\\\\\text{ P denotes Principal}\\\\\text{ R denotes Rate of growth}\\\\\text{ T denotes Time}`

So, It becomes,

`A=9800(1+0.02)^7\\\\A=9800(1.02)^7\\\\A=11257`

Hence, First option is correct.

Population after 7 years becomes 11257.