anonymous
  • anonymous
An initial population of 295 quail increases at an annual rate of 7%. Write an exponential function to model the quail population. What will the approximate population be after 2 years?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Let P be your population after x years with an annual growth rate of "m" and a starting population of A: P = A(1 + m)^x
anonymous
  • anonymous
The factor: (1 + m)^x comes from after year one: (1 + m) after year 2: (1 + m)^2 year3 : (1 + m)^3 because of [(1 + m)^2](1 + m) etc.
anonymous
  • anonymous
So, you can put in 295 for A, 0.07 for m, and your years for "x"

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anonymous
  • anonymous
The exponential aspect of the equation comes from having an expression to a power with "x" in it.
anonymous
  • anonymous
For your purposes, you'll be wanting to make "x" equal to 2.
anonymous
  • anonymous
If you have any questions with this, just ask. Otherwise, are you all good now?
anonymous
  • anonymous
Yeah, I'm good. Thanks man.
anonymous
  • anonymous
You're welcome and good luck in your studies.
anonymous
  • anonymous
I appreciate it.

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