Question 1153210: The fox population in a certain region has an annual growth rate of 7% per year. In the year 2012, there were 22,800 foxes counted in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole number.)
Answer by ikleyn(52747) (Show Source):
You can put this solution on YOUR website! .
For your info, in problems of this kind, there are 2 different notions/comception of annual growth.
One conception assumes linear growth; the other conception assumes exponential growth.
In problems like this one, usually the conception of the exponential growth is dominant and is used by default.
Nevertheless, any formulation, which pretends to be a Math problem, must to declare openly, directly and explicitly,
which one of two possible models is assumed.
In my solution, I will use the exponential model.
F(t) = ,
where F(t) is the current population t years after the year 2012 and n is the number of years after 2012.
In this problem, F(0) = 22800, n = 8.
So your formula is F(at the end of the year 2020) = .
Use your calculator.
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