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Suppose that a community in Idaho currently has a population of 5,000 and will be growing with a doubling time of 13 years. What will its population be in 20 years?

What will its population be in 50 years?
 

Guest May 2, 2017
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 #1
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First, you have to find out the annual average growth:

2^(1/13) =1.054766...... - 1 x 100 =5.4766% This is the average annual growth rate.

1.054766^20 x 5,000 = ~14,524 expected population of the town in 20 years.

1.054766^50 x 5,000 =~71,908  expected population of the town in 50 years.

Guest May 2, 2017
 #2
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You could also do this way:

20/13 =  1.538462...... This is the number of doublings in 20 years

2^1.538462 x 5,000 =14,524 - projected population in 20 years.

50/13 = 3.8461538....   This is the number of doublings in 50 years.

2^3.8461538 x 5,000 =71,908 - projected population in 50 years.

Guest May 2, 2017

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