Question

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

Answer 1

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

| Real net Weight - specified net weight | = Tolerance

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