SOLUTION: Application of Exponential Functions:
The population of a town is modeled by P = 12,500e0.015t. When will the population be 25,000?
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The population of a town is modeled by P = 12,500e0.015t. When will the population be 25,000?
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Question 1190545: Application of Exponential Functions:
The population of a town is modeled by P = 12,500e0.015t. When will the population be 25,000? Answer by ikleyn(52906) (Show Source):
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Application of Exponential Functions:
The population of a town is modeled by P = 12,500e0.015t. When will the population be 25,000?
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You need solve this equation
25000 =
Divide both sides by 12500. You will get
= ,
or
2 = .
Now take natural logarithm (base e) of both sides
ln(2) = 0.015*t
t = = 46.21 years (rounded).
ANSWER. The population of the town will double in 46.21 years.
Solved.
The yearly growth coefficient is = = 1.015, or about 1.5% per years.
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If you want to see many other similar and different solved problems on population growth, look into the lesson
- Population growth problems
in this site.
