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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text: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
OF
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.
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