(5 marks) To assist in identifying a tumor a patient is injected with 400 μg of a radioactive dye. Over time the body metabolizes and breaks the dye down. After one hour there is only 100 μg of the dye remaining. Assuming that the amount of the radioactive dye which is metabolized is proportional to the amount still active in the body, set up and solve an initial value problem that models the amount of dye after t hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 12PFA
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(5 marks) To assist in identifying a tumor a patient is injected with 400 μg of a radioactive dye.
Over time the body metabolizes and breaks the dye down. After one hour there is only 100 μg
of the dye remaining. Assuming that the amount of the radioactive dye which is metabolized
is proportional to the amount still active in the body, set up and solve an initial value problem
that models the amount of dye after t hours.
Transcribed Image Text:(5 marks) To assist in identifying a tumor a patient is injected with 400 μg of a radioactive dye. Over time the body metabolizes and breaks the dye down. After one hour there is only 100 μg of the dye remaining. Assuming that the amount of the radioactive dye which is metabolized is proportional to the amount still active in the body, set up and solve an initial value problem that models the amount of dye after t hours.
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