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Asked in PPSC, FPSC and other one-paper exams (compiled from unofficial resources).

AlgebraExponents and Powers

If the initial population of rats was 20 and grew to 25 after the second year, which of the following functions best models the population of rats $P$ with respect to the number of years $t$ if the population growth of rats is considered to be exponential?

  1. A.$P = 20(1.25)^t$Correct answer
  2. B.$P = 20(0.25)^t$
  3. C.$P = 25(1.20)^t$
  4. D.$P = 20(1.25)^{t/2}$

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Quick fact: The exponential model is $P = 20(1.25)^t$, so the correct option is A.

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