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8 June, 20:03

The volume of blood in a person's body is proportional to body weight. A person who weighs 140 pounds has approximately 4 quarts of blood. Estmate the number of quarts of blood in a person who weighs 100 pounds. Determine the proportion. 100 140 Do not simplfty) There are approximately quarts of blood in a person who weighs 100 pounds. Round to two decimal places as needed.)

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  1. 8 June, 23:53
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    Step-by-step explanation:

    When two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

    The volume, V of blood in a person's body is proportional to body weight, W. If we introduce a proportionality constant, k, the expression becomes

    W = kV

    A person who weighs 140 pounds has approximately 4 quarts of blood. It means that

    140 = 4k

    k = 140/4 = 35

    The equation becomes

    W = 35V

    Therefore, for a person who weighs 100 pounds, the quarts of blood would be

    100 = 35V

    V = 100/35

    V = 2.86 quarts
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