Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 4CYU
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1d31126-97b4-46b7-ae4f-526689d433c3%2F0881a7ba-3453-4770-b027-8c67f903ff5e%2F8w5jnua_processed.jpeg&w=3840&q=75)
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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Follow-up Question
summarraize the concentration of the drug in the bloodstream for the first 20 hours afetr it is taken. use the findings from a-e to validate your statements
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