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3 April, 14:04

If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left after 32 hours? Is the radioactive decay modeled by a linear function or an exponential function?

Answers (2)
  1. 3 April, 14:40
    There will be 22.5 grams left after 32 hours.

    Step-by-step explanation:

    A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

    32hrs/8hrs = 4 half lives.

    Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.

    (1/2) ^4 * 360

    1/16 * 360

    22.5 grams

    And this is an exponential function.
  2. 3 April, 15:11
    22.5 grams; exponential

    Step-by-step explanation:

    Did it on usa test prep and got it right
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