SOLUTION: supose that 10 squirrels are introduced to an area. if their population doubles every months how many squirrels are there in one year? how do i write this in an exponential grow

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Question 29967: supose that 10 squirrels are introduced to an area. if their population doubles every months how many squirrels are there in one year?
how do i write this in an exponential growth equation
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
Let N = number of squirrels in year t.

We have:
at start: 10
after 1 year: 10*2
after 2 years: 10*2*2
after 3 years: 10*2*2*2
after 4 years: 10*2*2*2*2

Look at the pattern generated...lets right all the 2's as powers of two:

after 1 year: 10%2A2%5E1
after 2 years: 10%2A2%5E2
after 3 years: 10%2A2%5E3
after 4 years: 10%2A2%5E4

and by analogy, at the start, we had 10%2A2%5E0 since 2%5E0 is 1.

So after t years, we have 10%2A2%5Et. So the formula is:

N+=+10%2A2%5Et

jon.