Question

A town has a population of 2000 and grows at 4% every year write an equation to represent the scenario​

Answer 1

Answer:
`P=2000(1.04)^t`.

Explanation:

It is given that,

Initial population of a town = 2000

Growth rate = 4% = 0.04 per year

The exponential growth function for population is

`P=P_0(1+r)^t`

where,
`P_0` is initial population, r is growth rate and t is number of years.

Substitute
`P_0=2000,r=0.04` in the above equation.

`P=2000(1+0.04)^t`

`P=2000(1.04)^t`

Therefore, the required equation is
`P=2000(1.04)^t`, where P is population after t years.