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 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?
 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?

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tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2Let 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

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2The 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.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2So, you can put in 295 for A, 0.07 for m, and your years for "x"

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2The exponential aspect of the equation comes from having an expression to a power with "x" in it.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2For your purposes, you'll be wanting to make "x" equal to 2.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2If you have any questions with this, just ask. Otherwise, are you all good now?

Acoustics95
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah, I'm good. Thanks man.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2You're welcome and good luck in your studies.
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