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Acoustics95
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?
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
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.
So, you can put in 295 for A, 0.07 for m, and your years for "x"
The exponential aspect of the equation comes from having an expression to a power with "x" in it.
For your purposes, you'll be wanting to make "x" equal to 2.
If you have any questions with this, just ask. Otherwise, are you all good now?
Yeah, I'm good. Thanks man.
You're welcome and good luck in your studies.