Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment with strontium-89 89 Sr , a radionuclide with a strong affinity for bone tissue. A patient is given a sample containing 4 mCi of 89 Sr . a. If 20 % of the 89 Sr remains in the body after 90 days, write a function of the form Q t = Q 0 e − k t to model the amount Q t of radioactivity in the body t days after the initial dose. b. What is the biological half-life of 89 Sr under this treatment? Round to the nearest tenth of a day.
Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment with strontium-89 89 Sr , a radionuclide with a strong affinity for bone tissue. A patient is given a sample containing 4 mCi of 89 Sr . a. If 20 % of the 89 Sr remains in the body after 90 days, write a function of the form Q t = Q 0 e − k t to model the amount Q t of radioactivity in the body t days after the initial dose. b. What is the biological half-life of 89 Sr under this treatment? Round to the nearest tenth of a day.
Solution Summary: The author explains how to determine the model of the amount Q(t) in the form of function.
Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment with strontium-89
89
Sr
, a radionuclide with a strong affinity for bone tissue. A patient is given a sample containing 4 mCi of
89
Sr
.
a. If
20
%
of the
89
Sr
remains in the body after 90 days, write a function of the form
Q
t
=
Q
0
e
−
k
t
to model the amount
Q
t
of radioactivity in the body t days after the initial dose.
b. What is the biological half-life of
89
Sr
under this treatment? Round to the nearest tenth of a day.
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