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.

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