Suppose that another drug is administered intravenously to an adult patient in a hospital as prescribed by a doctor. The relationship between the concentration of the drug (in mg/L) in the bloodstream and the time (in hours after 20t administration) is modeled by the function c(t) = t2 +4 a) Using the function above, fill in a chart of the concentration of the drug in the bloodstream for the first 24-hour period after administration at intervals of two hours. Write the concentration accurate to two decimal places as needed. 0. 4 6. 8. 10 12 14 16 18 c(t) 24 22 20 21

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose that another drug is administered intravenously to an adult patient in a
hospital as prescribed by a doctor. The relationship between the concentration of
the drug (in mg/L) in the bloodstream and the time (in hours after
20t
administration) is modeled by the function c(t)=
t+4
%3D
a) Using the function above, fill in a chart of the concentration of the drug in the
bloodstream for the first 24-hour period after administration at intervals of
two hours. Write the concentration accurate to two decimal places as needed.
t
0.
4.
6.
8.
10
12
14
16 18
20
22
24
c(t)
2.
Transcribed Image Text:Suppose that another drug is administered intravenously to an adult patient in a hospital as prescribed by a doctor. The relationship between the concentration of the drug (in mg/L) in the bloodstream and the time (in hours after 20t administration) is modeled by the function c(t)= t+4 %3D a) Using the function above, fill in a chart of the concentration of the drug in the bloodstream for the first 24-hour period after administration at intervals of two hours. Write the concentration accurate to two decimal places as needed. t 0. 4. 6. 8. 10 12 14 16 18 20 22 24 c(t) 2.
b) When will the concentration of the drug fall to a level of 0.5 mg/L?
c) When must the next dose of the drug be administered to the patient in order to
maintain a concentration above 1 mg/L and below 8 mg/L? Explain your
reasoning.
d) What is a reasonable domain for this function? Justify why (and if) you would
exclude any values.
Transcribed Image Text:b) When will the concentration of the drug fall to a level of 0.5 mg/L? c) When must the next dose of the drug be administered to the patient in order to maintain a concentration above 1 mg/L and below 8 mg/L? Explain your reasoning. d) What is a reasonable domain for this function? Justify why (and if) you would exclude any values.
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