Question

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

Answer 1

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

Step-by-step 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.