SOLUTION: In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.95% per year.
a) Find the exponential growth function.
b) Estimate the populatio
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Question 1170567: In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.95% 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 million?
d) Find the doubling time.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
F(t)=5.82(1.0295)^t where t= number of years after 2012
F(6) or 2018=5.82^1.0285^6=6,888,882 or 6.89 million
=
1.0295)^t=2
t ln (1.0295)=ln 2
t=23.84 years doubling time
=
c is not clear. For 10 million, 10/5.82=1.718
without rounding
1.718=1.0295^t
t=18.62 years
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