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Nonlinear Functions

SAT Math· difficulty 4/5

A substance has a half-life of 8 hours. What fraction of the original amount remains after 12 hours?

  • A

    18\dfrac{1}{8}

  • B

    14\dfrac{1}{4}

  • C

    12\dfrac{1}{2}

  • D

    122\dfrac{1}{2\sqrt{2}}

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Explanation

Fraction =(1/2)12/8=(1/2)3/2=1/(22)= (1/2)^{12/8} = (1/2)^{3/2} = 1/(2\sqrt{2}).

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