86.7k views
24 votes
the population of rats in nyc is estimated to be 3000000 currently. the rat population is growing by 1% per month. what is the estimated population of rats in 5 years?

User Ventolin
by
3.9k points

1 Answer

4 votes

Answer:

5,450,000

Explanation:

The population can be modeled by an exponential function with a growth rate of 1% per month. The time of interest, 5 years, is 60 months.

__

population = (initial value) × (1 + growth rate per month)^(months)

p = 3,000,000 × (1.01^60) . . . . . . population in 60 months

p ≈ 5,450,000 . . . . in 5 years

The estimated population of rats in nyc is about 5,450,000 in 5 years.

User Shardae
by
4.1k points