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13 May, 20:08

A food manufacturer specifies that every family-size box of cereal should have a net weight of 25 ounces, with a tolerance of 1.2 ounces. Write an absolute value equation that can be used to find the minimum and maximum weights in ounces of the family-size cereal box

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  1. 13 May, 21:21
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    an absolute value equation to determine the minimum and maximum value should be:

    | Real net Weight - specified net weight | = Tolerance

    Step-by-step explanation:

    an absolute value equation to determine the minimum and maximum value should be:

    | Real net Weight - specified net weight | = Tolerance

    therefore we have 2 scenarios:

    when (Real net Weight - Specified net weight) >0 and | Specified net weight - Real net Weight | = Tolerance → then Real net Weight = Maximum weight

    Therefore

    | Maximum weight - specified net weight | = Tolerance

    Maximum weight - specified net weight = Tolerance

    Maximum weight = specified net weight + Tolerance

    when (Real net Weight - Specified net weight) <0 and | Specified net weight - Real net Weight | = Tolerance → then Real net Weight = Minimum weight

    thus

    Therefore

    | Minimum weight - specified net weight | = Tolerance

    - (Minimum weight - specified net weight) = Tolerance

    -Minimum weight + specified net weight = Tolerance

    Minimum weight = specified net weight - Tolerance
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