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Question

The body surface area (BSA) of a human being is used to determine doses of medication. The formula for finding BSA is BSA = square root of fraction numerator H cross times M over denominator 3600 end fraction end root ,where H is the height in centimeters and M is the mass in kilograms. A doctor calculates a particular dose of medicine for a patient whose BSA is less than 1.9. If the patient is 160 cm tall, what must the mass of the person be for the dose to be appropriate?

hintHint:

Substitute in the equation and solve.

The correct answer is: 81.225


    Complete step by step solution:
    Here, BSA < 1.9 and H = 160cm
    Given that the formula for BSA = square root of fraction numerator H cross times M over denominator 3600 end fraction end root
    not stretchy rightwards double arrow square root of fraction numerator 160 cross times M over denominator 3600 end fraction end root less than 1.9
    On squaring both the sides, we get fraction numerator 160 cross times M over denominator 3600 end fraction less than 3.61
    table attributes columnspacing 1em end attributes row cell space space space space space space space not stretchy rightwards double arrow 160 M less than 12996 end cell row cell not stretchy rightwards double arrow M less than 81.225 end cell end table
    So, the mass of the person must be less than 81.225 for the dose to be appropriate.

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