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10 September, 01:26

There was a sample of 350 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 5.7% each year. Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams. Write an exponential function showing the relationship between y and t.

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  1. 10 September, 05:04
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    y = 350 (0.943) t

    Step-by-step explanation:

    Mass of sample after t years is given by

    y = Initial mass * (1 - r) t

    In this case,

    Initial mass = 350 mg

    r = 5.7% = 0.057

    Therefore,

    y = 350 (1 - 0.057) t

    => y = 350 (0.943) t

    Therefore, relationship between y and t is given by

    y = 350 (0.943) t
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Home » Mathematics » There was a sample of 350 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 5.7% each year. Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
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