Physicians often treat thyroid cancer with a radioactive form of iodine called iodine-131 (1311). The radiological half-life of 1311 is approximately 8 days, but the biological half-life for most individuals is 4.2 days. The biological half-life is shorter because in addition to 1311 being lost to decay, the iodine is also excreted from the body in urine, sweat, and saliva. For a patient treated with 150 mCi (millicuries) of 1311, the radioactivity level R (in mCi) after t days is given by R=150(2)-1/4.2 (a) State law mandates that the patient stay in an isolated hospital room for 3 days after ingesting 1311. Determine the radioactivity level at the end of 3 days. Round to the nearest whole unit. (b) After the patient is released from the hospital, the patient is directed to avoid direct human contact until the radioactivity level drops below 13 mCi. For how many days after leaving the hospital will the patient need to stay in isolation? Round to the nearest tenth of a day. Part: 0/2 Part 1 of 2 (a) The radioactivity level at the end of 3 days is mci. X

Algebra and Trigonometry (6th Edition)
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Physicians often treat thyroid cancer with a radioactive form of iodine called iodine-131 (1311). The radiological half-life of 1311 is approximately 8 days, but the
biological half-life for most individuals is 4.2 days. The biological half-life is shorter because in addition to 1311 being lost to decay, the iodine is also excreted
from the body in urine, sweat, and saliva.
For a patient treated with 150 mCi (millicuries) of 1311, the radioactivity level R (in mCi) after t days is given by R=150 (2) 1/4.2
(a) State law mandates that the patient stay in an isolated hospital room for 3 days after ingesting 1311. Determine the radioactivity level at the end of 3 days.
Round to the nearest whole unit.
(b) After the patient is released from the hospital, the patient is directed to avoid direct human contact until the radioactivity level drops below 13 mCi. For how
many days after leaving the hospital will the patient need to stay in isolation? Round to the nearest tenth of a day.
Part: 0 / 2
Part 1 of 2
(a) The radioactivity level at the end of 3 days is mci.
X
Transcribed Image Text:Physicians often treat thyroid cancer with a radioactive form of iodine called iodine-131 (1311). The radiological half-life of 1311 is approximately 8 days, but the biological half-life for most individuals is 4.2 days. The biological half-life is shorter because in addition to 1311 being lost to decay, the iodine is also excreted from the body in urine, sweat, and saliva. For a patient treated with 150 mCi (millicuries) of 1311, the radioactivity level R (in mCi) after t days is given by R=150 (2) 1/4.2 (a) State law mandates that the patient stay in an isolated hospital room for 3 days after ingesting 1311. Determine the radioactivity level at the end of 3 days. Round to the nearest whole unit. (b) After the patient is released from the hospital, the patient is directed to avoid direct human contact until the radioactivity level drops below 13 mCi. For how many days after leaving the hospital will the patient need to stay in isolation? Round to the nearest tenth of a day. Part: 0 / 2 Part 1 of 2 (a) The radioactivity level at the end of 3 days is mci. X
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