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Nonlinear Functions

SAT Math· difficulty 4/5

A radioactive isotope has half-life hh years. Which function gives the amount remaining from initial mass m0m_0?

  • A

    m0⋅(1/2)t/hm_0 \cdot (1/2)^{t/h}

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  • B

    m0⋅(1/2)tm_0 \cdot (1/2)^t

  • C

    m0⋅(1/2)htm_0 \cdot (1/2)^{ht}

  • D

    m0/(ht)m_0 / (h t)

Explanation

With half-life hh: m(t)=m0(1/2)t/hm(t) = m_0 (1/2)^{t/h}.

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