A major corporation is building a 4325 acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Clove's population (in thousands) t yr from now will be given by the following function.


(a) What is the current population of Glen Cove?

?? people

(b) What will be the population in the long run?

?? people

  1. 👍 0
  2. 👎 0
  3. 👁 1,898
  1. I have an inkling that your equation might be
    p(t) = (25t^2 + 125t + 200)/(t^2 + 2t + 100)

    current ----> t = 0
    p(0) = 200/100 = 2, but it was measured in thousands
    so the current population is 2000

    in the long run ----> x --> ∞

    as x gets bigger, we are left with the dominating terms of 25t^2/t^2 , thus the function approaches 25

    so in the "long run" the population would be 25000

    1. 👍 3
    2. 👎 1

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