The graph shows the amount of a medicine m, in milligrams, remaining in a patient's body h hours after receiving an injection. The amount of the medicine decreases exponentially. *(0,270) m (mg of drug in body) b. 250 200 C. 150 100 50 (1.5,80) a. By what factor did the medicine decrease in the first hour and a half? Explain how you know. 0.5 1 1.5 2 2.5 h (hours since injection) By what factor did the medicine decrease in the first half hour? What about in the first hour? Explain how you know. Write an equation relating m, the number of milligrams of the drug in the patient's body, and h, the number of hours since the injection.
The graph shows the amount of a medicine m, in milligrams, remaining in a patient's body h hours after receiving an injection. The amount of the medicine decreases exponentially. *(0,270) m (mg of drug in body) b. 250 200 C. 150 100 50 (1.5,80) a. By what factor did the medicine decrease in the first hour and a half? Explain how you know. 0.5 1 1.5 2 2.5 h (hours since injection) By what factor did the medicine decrease in the first half hour? What about in the first hour? Explain how you know. Write an equation relating m, the number of milligrams of the drug in the patient's body, and h, the number of hours since the injection.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
Related questions
Question
Transcribed Image Text:NAME
6.
b.
m (mg of drug in body)
a.
The graph shows the amount of a medicine m in milligrams, remaining in a
patient's body h hours after receiving an injection. The amount of the medicine
decreases exponentially.
(0,270)
b.
area
C.
Another pond has an algae bloom that is also decreasing exponentially. The area
of this bloom in square meters is given by the function
-4
B(d)= 100.2
where
d is days since the first measurement of the bloom. Which of the two algae
blooms was larger initially? Which is decreasing more quickly? Explain how you
know.
250
DATE
200
150
100
50
(1.5,80)
0.5
1
1.5
2
h (hours since injection)
PERIOD
2.5
By what factor did the medicine decrease in the first hour and a half? Explain
how you know.
By what factor did the medicine decrease in the first half hour? What about in
the first hour? Explain how you know.
Write an equation relating m the number of milligrams of the drug in the
patient's body, and h the number of hours since the injection.
9
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 33 images
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt