How do you solve net population growth word problems?
It is projected that t years from now the population of a certain country will be changing at the rate of e^(0.02 t) million per year. If the current population is 50 million, what will be the population 10 years from now?
It is projected that t years from now the population of a certain country will be changing at the rate of e^(0.02 t) million per year. If the current population is 50 million, what will be the population 10 years from now?
1 Answer
Aug 16, 2016
I will solve this question using year by year basis
Explanation:
At the end of 1st year: P1=e^0.0250 million = 51,010.067
At the end of 2nd year P2=e^0.0251,010,067 = 52,040,539
....
P9=59,860,870
At the end of 10th year P10=e^0.02*P9= 61,070,140.
Or simply P10 = (e^(0.0210))P0=61,070,138.
The general formula for exponential growth: P = P0e^(rt)
