Question

The population is decreasing at a rate of 4% per year. If the population is 24,800 today, what will the population be in 9 years? Round your answer to the nearest whole number, if necessary.

Answer 1

Answer: the population after 9 years is 17175

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^ t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 24800

r = 4% = 4/100 = 0.04

t = 9 years

Therefore,

A = 24800(1 - 0.04)^9

A = 24800(0.96)^9

A = 17175