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Helped with a growth rate problem?
The population of a city triples every 4 years. It starts with a population of 100. What is the anual growth rate of this city?
Heres what i said:
A=100(3)^(n/4)
What I did to solve for the growth rate was look at 3^(n/4) as the 100 is irrelevant. I then made n=1
However i do not think that this is the right way to approch this. Can anyone point me in right way?
Dont need to solve... just maybe tell me where you would start
2 Answers
- SnoozerLv 61 decade agoFavorite Answer
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Unless you have some other model for the growth why not use the general equation for population growth.
P(t) = P_0(e^(rt))
Use your specific numbers and solve for r.
300 = 100 e^(r*4)
ln(3) = 4*r
r = ln(3)/4 ≅ 0.274653
