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[Solved] POPULATION GROWTH It is estimated that t years from now, the population of a certain suburban community will be P(t)=20-(6)/(t+1) thousand. Derive

Question: POPULATION GROWTH It is estimated that \(t\) years from now, the population of a certain suburban community will be \(P(t)=20-\frac{6}{t+1}\) thousand.

  1. Derive a formula for the rate at which the population will be changing with respect to time \(t\) years from now.
  2. At what rate will the population be growing 1 year from now?
  3. By how much will the population actually increase during the second year?
  4. At what rate will the population be growing 9 years from now?
  5. What will happen to the rate of population growth in the long run?

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