Use findings from a-e to validate your statements. 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) = t*+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. 2 4 8 10 12| 14 16 18| 20 t c(t)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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can someone help me answer questions 2, a, and b? With steps on how to do it please and thank you.

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.
80
a. What is the concentration after 8 hours?
76+-
--------
72
2-
When t = 8 the value of y = 24
68
64
b. Over what interval(s) does the concentration
increase? Over what interval(s) does the
concentration decrease?
60
-
56
-
52-
48
44
0<= d <2 increase
40
36
2<= d <20 decrease
32
28f
c. When is the drug at its maximum concentration?
24
20
What is the maximum concentration of the drug?
16
T=2 and the maximum concentration is y = 64
12
8-
d. After the drug reaches its maximum
concentration, how many hours are required for the
concentration to decrease to 16 mg/L?
9 10 11 12 13 14 15 16 17 18 19 20
8 hours
e. What does the graph predict about the
concentration after 1 week? After 1 month?
the graph predicts that the concentration
will approach 0 after 1 week and after 1
month.
f. Summarize the concentration of the drug in the
bloodstream for the first 20 hours after it is taken.
Page 2 of 5
Use findings from a-e to validate your statements.
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) =
t*+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.
2
4
6
10
12
14
16
18
20
c(t)
Transcribed Image Text: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. 80 a. What is the concentration after 8 hours? 76+- -------- 72 2- When t = 8 the value of y = 24 68 64 b. Over what interval(s) does the concentration increase? Over what interval(s) does the concentration decrease? 60 - 56 - 52- 48 44 0<= d <2 increase 40 36 2<= d <20 decrease 32 28f c. When is the drug at its maximum concentration? 24 20 What is the maximum concentration of the drug? 16 T=2 and the maximum concentration is y = 64 12 8- d. After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L? 9 10 11 12 13 14 15 16 17 18 19 20 8 hours e. What does the graph predict about the concentration after 1 week? After 1 month? the graph predicts that the concentration will approach 0 after 1 week and after 1 month. f. Summarize the concentration of the drug in the bloodstream for the first 20 hours after it is taken. Page 2 of 5 Use findings from a-e to validate your statements. 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) = t*+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. 2 4 6 10 12 14 16 18 20 c(t)
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