Technetium-99 (99mTc) is a radionuclide used widely in nuclear medicine. 99mTc is combined with another substance that is readily absorbed by a targeted body organ. Then, special cameras sensitive to the gamma rays emitted by the technetium are used to record pictures of the organ. Suppose that a technician prepares a sample of 99mTc-pyrophosphate to image the heart of a patient suspected of having had a mild heart attack. a.At noon, the patient is given 10 mCi (millicuries) of 99mTc. If the half-life of 99m Tc is 6 hr, write a function of the form Q(t) = Q0e−kt to model the radioactivity level Q(t) after t hours. b. At what time will the level of radioactivity reach 3 mCi? Round to the nearest tenth of an hour.
Technetium-99 (99mTc) is a radionuclide used widely in nuclear medicine. 99mTc is combined with another substance that is readily absorbed by a targeted body organ. Then, special cameras sensitive to the gamma rays emitted by the technetium are used to record pictures of the organ. Suppose that a technician prepares a sample of 99mTc-pyrophosphate to image the heart of a patient suspected of having had a mild heart attack.
a.At noon, the patient is given 10 mCi (millicuries) of 99mTc. If the half-life of 99m Tc is 6 hr, write a function of the form Q(t) = Q0e−kt to model the radioactivity level Q(t) after t hours.
b. At what time will the level of radioactivity reach 3 mCi? Round to the nearest tenth of an hour.
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