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a population of 75 foxes in a wildlife preserve quadruples in size every 15 years, the function y=75*4^x, where x is the number of 15 year periods, models the population growth. how many foxes will there be after 45 years?

Guest Feb 12, 2017
 #1
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Here's how I think of it: How many "15 year periods" are there in 45 years? Once I know how many fifteen year periods are in 45 years, just plug that number in for x into the function.

 

45/15 = 3

 

That means there are 3 fifteen year periods in 45 years.

 

So after 3 fifteen year periods, there will be 75*4foxes

 

That is 75(64) foxes

 

4,800 foxes

hectictar  Feb 12, 2017

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