Radioiodine treatment Roughly 12,000 Americans are diag- nosed with thyroid cancer every year, which accounts for 1% of all cancer cases. It occurs in women three times as frequently as in men. Fortunately, thyroid cancer can be treated successfully in many cases with radioactive iodine, or I-131. This unstable form of iodine has a half-life of 8 days and is given in small doses mea- sured in millicuries. a. Suppose a patient is given an initial dose of 100 millicuries. Find the function that gives the amount of I-131 in the body after t 2 0 days. b. How long does it take the amount of I-131 to reach 10% of the initial dose? c. Finding the initial dose to give a particular patient is a critical calculation. How does the time to reach 10% of the initial dose change if the initial dose is increased by 5%?
Radioiodine treatment Roughly 12,000 Americans are diag- nosed with thyroid cancer every year, which accounts for 1% of all cancer cases. It occurs in women three times as frequently as in men. Fortunately, thyroid cancer can be treated successfully in many cases with radioactive iodine, or I-131. This unstable form of iodine has a half-life of 8 days and is given in small doses mea- sured in millicuries. a. Suppose a patient is given an initial dose of 100 millicuries. Find the function that gives the amount of I-131 in the body after t 2 0 days. b. How long does it take the amount of I-131 to reach 10% of the initial dose? c. Finding the initial dose to give a particular patient is a critical calculation. How does the time to reach 10% of the initial dose change if the initial dose is increased by 5%?
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Transcribed Image Text:Radioiodine treatment Roughly 12,000 Americans are diag-
nosed with thyroid cancer every year, which accounts for 1% of
all cancer cases. It occurs in women three times as frequently as
in men. Fortunately, thyroid cancer can be treated successfully in
many cases with radioactive iodine, or I-131. This unstable form
of iodine has a half-life of 8 days and is given in small doses mea-
sured in millicuries.
a. Suppose a patient is given an initial dose of 100 millicuries.
Find the function that gives the amount of I-131 in the body
after t 2 0 days.
b. How long does it take the amount of I-131 to reach 10% of the
initial dose?
c. Finding the initial dose to give a particular patient is a critical
calculation. How does the time to reach 10% of the initial dose
change if the initial dose is increased by 5%?
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