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Nonlinear Functions

SAT Math· difficulty 4/5

A bacteria population follows P(t)=500⋅2t/3P(t) = 500 \cdot 2^{t/3} where tt is in hours. What is the doubling time?

  • A

    33 hours

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  • B

    22 hours

  • C

    11 hour

  • D

    66 hours

Explanation

The exponent is t/3t/3; population doubles when t/3=1t/3 = 1, i.e., t=3t = 3 hours.

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