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. Y 80 76- 72 68 64- 60 56 52 48 44 40 36 32+ 28- 24+ 20+ 16- 12 8 4- 7 8 9 10 11 12 13 14 15 16 17 18 19 20 t c(t) 0 2 4 a. What is the concentration after 8 hours? 2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the bloodstream, t hours after it is administered, is modeled by the function_c(t)= 20t t² +4 a. Determine when the concentration will be 0.5 mg/L. 6 b. Over what interval(s) does the concentration increase? Over what interval(s) does the concentration decrease? b. Complete the table representing the concentration of the drug in the bloodstream, t hours after administration. Round to two decimal places as needed. 8 c. When is the drug at its maximum concentration? What is the maximum concentration of the drug? d. After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L? e. What does the graph predict about the concentration after 1 week? After 1 month? f. Summarize the concentration of the drug in the bloodstream for the first 20 hours after it is taken. Use findings from a-e to validate your statements. 10 12 14 16 18 20 Page 1 of 5

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
icon
Related questions
Question
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
76-
72
68
64
60
56
52
48
44
AY
40
36
32
28
24
20
16
12
8-
4
8 9 10 11 12 13 14 15 16 17 18 19 20
t
c(t)
0
2
4
6
a. What is the concentration after 8 hours?
2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the
bloodstream, t hours after it is administered, is modeled by the function c(t)=
20t
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.
8
b. Over what interval(s) does the concentration
increase? Over what interval(s) does the
concentration decrease?
c. When is the drug at its maximum concentration?
What is the maximum concentration of the drug?
d. After the drug reaches its maximum concentration,
how many hours are required for the concentration to
decrease to 16 mg/L?
e. What does the graph predict about the
concentration after 1 week? After 1 month?
f. Summarize the concentration of the drug in the
bloodstream for the first 20 hours after it is taken. Use
findings from a-e to validate your statements.
10 12
14
16 18 20
Page 1 of 5
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 76- 72 68 64 60 56 52 48 44 AY 40 36 32 28 24 20 16 12 8- 4 8 9 10 11 12 13 14 15 16 17 18 19 20 t c(t) 0 2 4 6 a. What is the concentration after 8 hours? 2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the bloodstream, t hours after it is administered, is modeled by the function c(t)= 20t 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. 8 b. Over what interval(s) does the concentration increase? Over what interval(s) does the concentration decrease? c. When is the drug at its maximum concentration? What is the maximum concentration of the drug? d. After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L? e. What does the graph predict about the concentration after 1 week? After 1 month? f. Summarize the concentration of the drug in the bloodstream for the first 20 hours after it is taken. Use findings from a-e to validate your statements. 10 12 14 16 18 20 Page 1 of 5
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,