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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
icon
Related questions
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill