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February 1, 2015

February 1, 2015

Posted by **Andy G** on Monday, March 17, 2014 at 8:53pm.

a. assuming that the population grew exponentially, compute the grownth constant.

b. assuming continued growth at a constant rate, predict the population in 1950.

- Precalculus -
**Reiny**, Monday, March 17, 2014 at 9:38pmlet t=0 correspond with the year 1850

then 1900 ---> t = 50

then 1950 ---> t = 100

population = a( e^(kt) ) , where a is the initial population and t is the number of years since 1850

23,191,876 = a e^0

a = 23,191,876

then:

62,947,714 = 23,181,876 e^(50k)

2.715384812 = e^(50k)

50k = ln(2.715384812 )

k = .019978673

in 1950

pop = 23,191,876 e^(100( .019978673))

= 170,927,267

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