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For a person of height h (in inches), a healthy weight W (in pounds) is one that satisfies this system of inequalities:

W is greater than or equal to (19h^2)/703 and W is less than or equal to (25h^2)/703

Graph the system for 0 is less than or equal to h which is less than or equal to 80. What is the range of healthy weights for a person 67 inches tall? **Note** ^ means "to the power of."

  • math - ,

    we have

    19h^2/703 <= w <= 25h^2/703

    If h=67, we have

    121.3 <= w <= 159.6

    Personally, I think that the formula is bogus, even in principle, since volume goes up as the cube of the height, not the square.

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