Suppose that another drug is administered intravenously to an adult patient in a hospital as prescribed by a doctor. The relationship between the concentration of the drug (in mg/L) in the bloodstream and the time (in hours after 20t administration) is modeled by the function c(t) = t2 +4 a) Using the function above, fill in a chart of the concentration of the drug in the bloodstream for the first 24-hour period after administration at intervals of two hours. Write the concentration accurate to two decimal places as needed. 0. 4 6. 8. 10 12 14 16 18 c(t) 24 22 20 21

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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...
icon
Related questions
Question

Please solve all parts! 

Suppose that another drug is administered intravenously to an adult patient in a
hospital as prescribed by a doctor. The relationship between the concentration of
the drug (in mg/L) in the bloodstream and the time (in hours after
20t
administration) is modeled by the function c(t)=
t+4
%3D
a) Using the function above, fill in a chart of the concentration of the drug in the
bloodstream for the first 24-hour period after administration at intervals of
two hours. Write the concentration accurate to two decimal places as needed.
t
0.
4.
6.
8.
10
12
14
16 18
20
22
24
c(t)
2.
Transcribed Image Text:Suppose that another drug is administered intravenously to an adult patient in a hospital as prescribed by a doctor. The relationship between the concentration of the drug (in mg/L) in the bloodstream and the time (in hours after 20t administration) is modeled by the function c(t)= t+4 %3D a) Using the function above, fill in a chart of the concentration of the drug in the bloodstream for the first 24-hour period after administration at intervals of two hours. Write the concentration accurate to two decimal places as needed. t 0. 4. 6. 8. 10 12 14 16 18 20 22 24 c(t) 2.
b) When will the concentration of the drug fall to a level of 0.5 mg/L?
c) When must the next dose of the drug be administered to the patient in order to
maintain a concentration above 1 mg/L and below 8 mg/L? Explain your
reasoning.
d) What is a reasonable domain for this function? Justify why (and if) you would
exclude any values.
Transcribed Image Text:b) When will the concentration of the drug fall to a level of 0.5 mg/L? c) When must the next dose of the drug be administered to the patient in order to maintain a concentration above 1 mg/L and below 8 mg/L? Explain your reasoning. d) What is a reasonable domain for this function? Justify why (and if) you would exclude any values.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning