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Acoustics95

  • 3 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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  1. tcarroll010
    • 3 years ago
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    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
    • 3 years ago
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    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
    • 3 years ago
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    So, you can put in 295 for A, 0.07 for m, and your years for "x"

  4. tcarroll010
    • 3 years ago
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    The exponential aspect of the equation comes from having an expression to a power with "x" in it.

  5. tcarroll010
    • 3 years ago
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    For your purposes, you'll be wanting to make "x" equal to 2.

  6. tcarroll010
    • 3 years ago
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    If you have any questions with this, just ask. Otherwise, are you all good now?

  7. Acoustics95
    • 3 years ago
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    Yeah, I'm good. Thanks man.

  8. tcarroll010
    • 3 years ago
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    You're welcome and good luck in your studies.

  9. Acoustics95
    • 3 years ago
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    I appreciate it.

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