Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Q3 Exponential Model from a Table of Data
Technetium-99m is a drug taken by a patient and then used to study tumors in the brain, lungs
and other parts of the body. The data below shows how much active ingredient, in miiligrams,
remains in the body over 6-hour time intervals.
Technetium-99m Decay
Amount of Drug
# of 6-hour time
intervals
remaining (mg)
1000
1
500
250
3.
125
Q3.1 Part a)
What is the initial amount of drug the patient took? Include units.
Enter your answer here
Save Answer
Q3.2 Part b)
Assume that the above data exhibits an exponential behavior. Determine an exponential
equation in the form y = Cb* that models the behavior of Technetium-99m in the
bloodstream as a function of time intervals of 6 hours. Show all work. Define all variables.
Upload a PDF file of your work. Make sure your PDF file is in the correct orientation
O Please select file(s)
Select file(s)
Save Answer
Q3.3 Part c)
What is the decay rate? Provide your answer in context of the problem as a percentage. Use
complete sentence(s).
Enter your answer here
expand button
Transcribed Image Text:Q3 Exponential Model from a Table of Data Technetium-99m is a drug taken by a patient and then used to study tumors in the brain, lungs and other parts of the body. The data below shows how much active ingredient, in miiligrams, remains in the body over 6-hour time intervals. Technetium-99m Decay Amount of Drug # of 6-hour time intervals remaining (mg) 1000 1 500 250 3. 125 Q3.1 Part a) What is the initial amount of drug the patient took? Include units. Enter your answer here Save Answer Q3.2 Part b) Assume that the above data exhibits an exponential behavior. Determine an exponential equation in the form y = Cb* that models the behavior of Technetium-99m in the bloodstream as a function of time intervals of 6 hours. Show all work. Define all variables. Upload a PDF file of your work. Make sure your PDF file is in the correct orientation O Please select file(s) Select file(s) Save Answer Q3.3 Part c) What is the decay rate? Provide your answer in context of the problem as a percentage. Use complete sentence(s). Enter your answer here
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