(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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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questions 4-6 (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
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.
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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