Acoustics95 2 years ago 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?

1. tcarroll010

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

2. tcarroll010

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.

3. tcarroll010

So, you can put in 295 for A, 0.07 for m, and your years for "x"

4. tcarroll010

The exponential aspect of the equation comes from having an expression to a power with "x" in it.

5. tcarroll010

For your purposes, you'll be wanting to make "x" equal to 2.

6. tcarroll010

If you have any questions with this, just ask. Otherwise, are you all good now?

7. Acoustics95

Yeah, I'm good. Thanks man.

8. tcarroll010

You're welcome and good luck in your studies.

9. Acoustics95

I appreciate it.