Word problems

Question

The population of Succasunna? NJ was 11?171 in 2000. The estimated growth is 2.1% every 4 years. What is the estimated population in the year...

 

2020

 

2001

 

this year

 

at the beginning of the next century

Answer 1

This is an exponential growth problem. Let's make the year 2000 time zero. You have to adjust for the "every 4 years" thing, but it's still a pretty straight forward exponential problem.

 

P = 11,171(1.021)^t/4

 

Then, make sure you put in the right numbers. For example, 2020, t would be 20.

 

P(2020) = 11,171(1.021)⁵ = 12,394 (Because you are dealing with people, round to a whole number)

P(2001), use t=1

P(2100), use t=100