calculus question

Question

Find the doubling time for a city whose population is growing by 17% per year.

Answer 1

P(t) = P(0) (1.17)^t

 

t = years

 

Doubling time:

 

2P(0) = P(0) (1.17)^t

 

2 = 1.17^t

 

log2 = t log1.17

 

t = log2 / log1.17 ≅ 4.415 years

 

Test the answer.