Concept explainers
To Find: The absolute value equation to determine the maximum and minimum weight for the bags of play sand.
Answer to Problem 3.8.11P
Maximum weight = 35.50 lbs
Minimum weight = 34.50 lbs
Explanation of Solution
Given:
Labeled weight = 35 lbs
Equipment produces the bag which is within 8 oz of the labeled weight.
Given that there can be a difference of 8 oz in the actual bag produced from the labeled weight.
8 oz = 0.50 lbs
Let the actual weight of the bag produced be
The absolute value equation can be written as:
As per definition of absolute value function:
Here, weight of bag can be more than the labeled weight. i.e.
As per definition, solving the absolute value equation with positive sign:
Or, weight of bag can be lesser than the labeled weight. i.e.
As per definition, solving the absolute value equation with negative sign:
Therefore,
Maximum weight = 35.50 lbs
Minimum weight = 34.50 lbs
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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