Question
Pretend the world's population in 1989 was 5 billion and that the projection for 2017 is 7.5 billion.
What annual rate of growth is assumed in this prediction?
What annual rate of growth is assumed in this prediction?
Answers
Assuming we take the growth to be exponential , ...
5 e^(28r) = 7.5
e^(28r) = 1.5
ln both sides
ln (e^(28r)) = ln1.5
28r = ln 1.5
r = .0145
the rate is 1.45%
check:
5 e^(28*.0145)
= 7.5
5 e^(28r) = 7.5
e^(28r) = 1.5
ln both sides
ln (e^(28r)) = ln1.5
28r = ln 1.5
r = .0145
the rate is 1.45%
check:
5 e^(28*.0145)
= 7.5