Question

the population of Smithfield is growing at the rate of 6% per year. There are currently 2500 people in the town. Write an equation that models the population.

Answer 1

The equation that models the population is The number of people in Town after n years = 2500 ×
`( 1 +(6)/(100))^(n)`

Explanation:

Given as :

The Rate of growth of population per year = 6%

The Present number of people in town = 2500

so ,

The number of people in Town after n years = The present number of people in Town ×
`( 1 +(Rate)/(100))^(number of year)`

Or, The number of people in Town after T years = 2500 ×
`( 1 +(6)/(100))^(n)`

where n is the number of year

Hence The equation that models the population is The number of people in Town after n years = 2500 ×
`( 1 +(6)/(100))^(n)` Answer