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Trillography

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?

  • one year ago
  • one year ago

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  1. binarymimic
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    the growth rate is 7% = 0.07 so try \[y = 295(1.07)^{t}\] where t is years and y is the population

    • one year ago
  2. Trillography
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    So just simplify 295=(1.07)^2?

    • one year ago
  3. binarymimic
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    sort of. it's y = 295(1.07)^2

    • one year ago
  4. binarymimic
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    solve for y

    • one year ago
  5. binarymimic
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    generally speaking for these types of problems (growth rates) \[y = a(1 + r)^{t}\] is the formula you use. a is the initial population, and r is the growth rate

    • one year ago
  6. Trillography
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    I got 336.7455. Am I correct?

    • one year ago
  7. binarymimic
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    yes

    • one year ago
  8. binarymimic
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    just round it because the question asks for an approximate. unless its the zombie quail apocalypse where .7455 quails are running around!

    • one year ago
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