D) After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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D) After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L
Instructions: Read each question carefully. Answer in complete sentences.
1. The graph below shows the concentration of a drug (in mg/L) in the bloodstream, t hours after it is taken orally. Use
the graph to answer a-f.
AY
80
a. What is the concentration after 8 hours?
76
72
b. Over what interval(s) does the concentration
increase? Over what interval(s) does the
concentration decrease?
68
64
60
56
c. When is the drug at its maximum concentration?
What is the maximum concentration of the drug?
52
48
44-
40
d. After the drug reaches its maximum concentration,
how many hours are required for the concentration to
decrease to 16 mg/L?
36
32
28
e. What does the graph predict about the
concentration after 1 week? After 1 month?
24
20-
16
12
f. Summarize the concentration of the drug in the
bloodstream for the first 20 hours after it is taken. Use
e findings from a-e to validate your statements.
8
4-
6.
7.
8 9 10 11 12 13 14 15 16 17 18 19 20
2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the
20t
bloodstream, t hours after it is administered, is modeled by the function c(t) =
t2+4
a. Determine when the concentration will be 0.5 mg/L.
b. Complete the table representing the concentration of the drug in the bloodstream, t hours after
administration. Round to two decimal places as needed.
4
6.
8
10
12
14
16
18
20
c(t)
Page 2 of 5
Transcribed Image Text:Instructions: Read each question carefully. Answer in complete sentences. 1. The graph below shows the concentration of a drug (in mg/L) in the bloodstream, t hours after it is taken orally. Use the graph to answer a-f. AY 80 a. What is the concentration after 8 hours? 76 72 b. Over what interval(s) does the concentration increase? Over what interval(s) does the concentration decrease? 68 64 60 56 c. When is the drug at its maximum concentration? What is the maximum concentration of the drug? 52 48 44- 40 d. After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L? 36 32 28 e. What does the graph predict about the concentration after 1 week? After 1 month? 24 20- 16 12 f. Summarize the concentration of the drug in the bloodstream for the first 20 hours after it is taken. Use e findings from a-e to validate your statements. 8 4- 6. 7. 8 9 10 11 12 13 14 15 16 17 18 19 20 2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the 20t bloodstream, t hours after it is administered, is modeled by the function c(t) = t2+4 a. Determine when the concentration will be 0.5 mg/L. b. Complete the table representing the concentration of the drug in the bloodstream, t hours after administration. Round to two decimal places as needed. 4 6. 8 10 12 14 16 18 20 c(t) Page 2 of 5
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