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Nonlinear Functions

SAT Math· difficulty 5/5

Population was 1000 in year 2000 and 1500 in year 2010. If exponential, the model is:

  • A

    P(t)=1000+50tP(t) = 1000 + 50t

  • B

    P(t)=1000⋅1.5tP(t) = 1000 \cdot 1.5^t

  • C

    P(t)=1000(1.5)t/10P(t) = 1000(1.5)^{t/10}

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  • D

    P(t)=1000(1.05)tP(t) = 1000(1.05)^t

Explanation

Over 10 yrs, multiplier 1500/1000=1.51500/1000 = 1.5, so P(t)=1000(1.5)t/10P(t) = 1000(1.5)^{t/10}.

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