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A country's population in 1994 was 140 million. n 1998 it was 146 million. Estimate the population in 2011 using the exponential growth formula. Round your answer to the nearest million

User Todd Hoff
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The exponential growth formular is given by

P=P_o(r)^t
where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).

P_o is the initial population of the country (i.e. the population of the country in 1994).
r is the growth rate of the population and
t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.
Here: P = 146,
P_o=140, and t = 4 years

Thus

146=140(r)^4 \\ \\ r^4= (146)/(140) =1.042857 \\ \\ r= \sqrt[4]{1.042857} =1.010546

To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be

140(1.010546)^(17)=140(1.195236)=167.33 million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million.
User Niket Joshi
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