Doctors sometimes need to calculate the body surface area of their patient when they are determining the specific dosage of a medicine they are administering. The formula for body surface area is B =, /H-W 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(desmos.com) to find the graph and then sketch a graph of the function B(W) below. Ay 2 40 80 120 160 200 240 280 320 360 Weight (pounds) 3. Interpret the domain, range, and increaseldecrease of the graph in terms of the problem situation. Doman: Range: Increasing / decreasing? Over what intervals? Body Surface Area (square meters)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 11CYU
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Doctors sometimes need to calculate the body surface area of their patient when they are
determining the specific dosage of a medicine they are administering. The formula for body
H•W
surface area is B = V3131
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(desmos.com) to find the graph and then sketch a graph of the function B(W)
þelow.
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.
Doman:
Range:
Increasing / decreasing? Over what intervals?
Body Surface Area
(square meters)
Transcribed Image Text:Doctors sometimes need to calculate the body surface area of their patient when they are determining the specific dosage of a medicine they are administering. The formula for body H•W surface area is B = V3131 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(desmos.com) to find the graph and then sketch a graph of the function B(W) þelow. 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. Doman: Range: Increasing / decreasing? Over what intervals? Body Surface Area (square meters)
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