4. (15 points) Radioactive Iodine (1-131), which has a half-life of 8 days, is u

Question

4. (15 points) Radioactive Iodine (1-131), which has a half-life of 8 days, is used in the treatment of thyroid cancer. Suppose that a patient is given an initial dose of 50 milli- curics. Assume that the amount of I-131 in the body after t days can be described by an exponential function. This means that if A the amount of I-131 in the body after t days the desired function looks like A 50e where k is a constant. 1. Use the given information about half-life to determine k 2. Determine the amount of I-131 in the body after 10 days.

Explanation / Answer

25 = 50 e^ ( k x 691200)

0.5 = e^ ( 691200k)

-0.693 =  691200k

k = -1x 10^6 apprx

b) A = 50 e(  -1x 10^-6 x864000)

A = 21 millicuries apprx

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