Question

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?

Answer 1

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

Answer 2

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.

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

Yeah, I'm good. Thanks man.

Answer 8

You're welcome and good luck in your studies.

Answer 9

I appreciate it.