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Math Help - functions

  1. #1
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    functions

    Radioactive gallium-67 decays by 1.48% every hour; there are 150 milligrams initially.
    a) Find a formula for the amount of gallium-67 remaining after t hours.

    my answer is 150(1.0148)^t but it says that it is wrong
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  2. #2
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    Radioactive decay

    I believe it's a continuous process of decay so you can't calculate it like you would calculate discrete functions like compound interest.
    So it will be 150 * (1 - e^(-n)) where n = t(1 - 1.48%)
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by asweet1 View Post
    Radioactive gallium-67 decays by 1.48% every hour; there are 150 milligrams initially.
    a) Find a formula for the amount of gallium-67 remaining after t hours.

    my answer is 150(1.0148)^t but it says that it is wrong
    use the radioactive decay formula

    P(t) = P_0e^{-rt}

    here, P(t) is the amount remaining after time t, r is the rate of decay (in decimal, you can find this from the decay percentage), and P_0 is the initial amount
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