SOLUTION: The population of the US currently is growing with a doubling time of about 41 years. If the current population is 310 million of people, how many years will it take us to reach a
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Question 768201: The population of the US currently is growing with a doubling time of about 41 years. If the current population is 310 million of people, how many years will it take us to reach a population of 350 million?
Years to target value (1 decimal):
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
For now,
Let = initial population
Let = current population
Let = years to double population
Let = number of doubling periods
it takes to reach target
-------------------------------
Initially,
-------------------------
After years
-------------
After years
--------------
So, in general, after years,
--------------
Now fill in values:
years
million
million
--------------
Take the log of both sides
In 7.2 years, the population of 350 million will be reached
--------------
check answer:
close enough
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