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Nonlinear Functions

SAT Math· difficulty 5/5

A substance has half-life 12 hours. About what percent remains after 18 hours?

  • A

    40%40\%

  • B

    30%30\%

  • C

    25%25\%

  • D

    35%35\%

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Explanation

(1/2)18/12=(1/2)1.5=1/(22)≈0.3536=35.4%(1/2)^{18/12} = (1/2)^{1.5} = 1/(2\sqrt{2}) \approx 0.3536 = 35.4\%.

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