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3 March, 06:46

The amount of blood in a person's body, a quarts, is directly proportional to his or her body weight, w pounds. A person who weighs 128 pounds has about 4 quarts of blood. a) Find the constant of proportionality. b) Write an equation that relates the amount of blood in a person's body to his or her body weight. c) Find the weight of a person whose body has about 5 quarts of blood.

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  1. 3 March, 06:55
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    Step-by-step explanation:

    Let a represent the amount of blood in a Peron's body in quarts.

    Let w represent the weight of the Peron's body in pounds.

    Therefore,

    a is directly proportional to w

    a) Let k represent the constant of proportionality. Therefore,

    a = kw

    A person who weighs 128 pounds has about 4 quarts of blood. This means that

    4 = k * 128

    k = 4/128 = 0.03125

    b) The equation that relates the amount of blood in a person's body to his or her body weight would be

    a = 0.03125w

    c) the weight of a person whose body has about 5 quarts of blood would be

    5 = 0.03125w

    w = 5/0.03125 = 160 pounds
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