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Nonlinear Functions

SAT Math· difficulty 3/5

A population grows by 8% per year. Which function models the population starting at 200?

  • A

    P(t)=200(8)tP(t) = 200(8)^t

  • B

    P(t)=200+0.08tP(t) = 200 + 0.08t

  • C

    P(t)=200(1.08)tP(t) = 200(1.08)^t

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  • D

    P(t)=200(0.08)tP(t) = 200(0.08)^t

Explanation

Multiply by (1+r)=1.08(1 + r) = 1.08 each year: P(t)=200(1.08)tP(t) = 200(1.08)^t.

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