Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment with strontium-89 (<89Sr), a radionuclide with a strong affinity for bone tissue. A patient is given a sample containing 4 mCi of 89Sr.  a. If 20% of the 89Sr remains in the body after 90 days, write a function of the form Q(t) = Q0e−kt 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 89Sr under this treatment? Round to the nearest tenth of a day.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment with strontium-89 (<89Sr), a radionuclide with a strong affinity for bone tissue. A patient is given a sample containing 4 mCi of 89Sr.  a. If 20% of the 89Sr remains in the body after 90 days, write a function of the form Q(t) = Q0e−kt 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 89Sr under this treatment? Round to the nearest tenth of a day.

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