Unit Activity Radical Functions Radical Functions: The Correct Dose Doctors sometimes need to calculate the body surface area of their patient when they are determin- ing the specific dosage of a medicine they are administering. The formula for body surface area is B=√3131 where B is the body surface area in square meters, H is the height of the patient in inches, and W is the weight of the patient in pounds. 1. If the height of a patient is 68 inches, write a function B(W) that represents the body surface area of patients of that height. 2. Use technology to sketch a graph of the function B(W). AY Body Surface Area (square meters) 3 N OY 40 80 120 160 200 240 280 320 360 Weight (pounds) 3. Interpret the domain, range, and increase/decrease of the graph in terms of the problem situation. 4. What is the body surface area of a patient who is 68 inches tall and weighs 161 pounds? Show your work. 5. The body surface area of a patient who is 68 inches tall is found to be approximately 1.98 square meters. What is the approximate weight of the patient? Show your work. 6. A doctor prescribes an amount of 15 mg/m² to a patient who weighs 201 pounds and is 68 inches tall. What will the dosage of the medicine be, in mg? Show your work.
Unit Activity Radical Functions Radical Functions: The Correct Dose Doctors sometimes need to calculate the body surface area of their patient when they are determin- ing the specific dosage of a medicine they are administering. The formula for body surface area is B=√3131 where B is the body surface area in square meters, H is the height of the patient in inches, and W is the weight of the patient in pounds. 1. If the height of a patient is 68 inches, write a function B(W) that represents the body surface area of patients of that height. 2. Use technology to sketch a graph of the function B(W). AY Body Surface Area (square meters) 3 N OY 40 80 120 160 200 240 280 320 360 Weight (pounds) 3. Interpret the domain, range, and increase/decrease of the graph in terms of the problem situation. 4. What is the body surface area of a patient who is 68 inches tall and weighs 161 pounds? Show your work. 5. The body surface area of a patient who is 68 inches tall is found to be approximately 1.98 square meters. What is the approximate weight of the patient? Show your work. 6. A doctor prescribes an amount of 15 mg/m² to a patient who weighs 201 pounds and is 68 inches tall. What will the dosage of the medicine be, in mg? Show your work.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 11P
Related questions
Question
How to solve all the questions
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 3 steps with 2 images
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning