If the world’s population is increasing at an annual rate of 1.5%, and there were 8...
If the world’s population is increasing at an annual rate of 1.5%, and there were 8 billion people in the year 2010, then in what year will the world’s population be 20 billion?
Homework Answers
Change in population = 20 - 8 = 12 billion
Assuming exponential growth model
P = A*e^(r*t)
r = 1.5% = 0.015
A = 8 billion, P = 20 billion
20 = 8*e^(0.015*t)
2.5 = e^(0.015*t)
ln 2.5 = 0.015*t
t = (ln 2.5)/0.015
t = 61.09 years
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