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

Question

asked Jan 11, 2021 197k views

1 Answer

Zjffun · Answer 1 · 2021-01-17T10:49:59+0000

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
, where P is population after t years.