SOLUTION: In​ 2012, the population of a city was 5.72 million. The exponential growth rate was 3.79 per year.
​a) Find the exponential growth function.
​b) Estimate the p
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Question 1100281: In 2012, the population of a city was 5.72 million. The exponential growth rate was 3.79 per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 88 million?
d) Find the doubling time.
This one's also a big one and it is pretty hard.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In 2012, the population of a city was 5.72 million. The exponential growth rate was 3.79 per year.
a) Find the exponential growth function.
A(t) = 5.72*3.79^t
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b) Estimate the population of the city in 2018.
A(6) = 5.72*2.79^6
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c) When will the population of the city be 88 million?
Solve for "t"::
88 = 5.72*2.79^t
2.79^t = 15.38
t = log(15.38)/(log(2.79)) = 2.66 years
Ans:: 2018 + 2.66 yrs = 2021
---------------------------
d) Find the doubling time.
2*5.72 = 5.72*3.79^t
3.79^t = 2
t = log(2)/log(3.79)
t = 0.52
Ans:: 2018 + 0.52(12 mts) = 2018 and 6 mts
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Cheers,
Stan H.
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This one's also a big one and it is pretty hard.
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