Absolute Value In Context

Absolute Value in Context Forumla

| Actual Value - Expected Value | = Error Margin

Actual Value: Observed Value / Value you are testing with
Expected Value: The Value you want
Error Margin: How far apart the Actual Value and Expected Value are allowed to be.

Example:

A chip company packages and sells 1oz bags of chips. They want an error margin of .3 oz. Write an inequality to find the accetable weights of the bags of chips coming off the line.

Step 1: Determine the Absolute Value Equation:
| x-1 | < .3

Step 2: Solve the Inequality and write as a compound inequality
.7 < x < 1.3

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Write an absolute value inequality representing all numbers x whose distance from

6 is less than 17 units.

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Write an absolute value equation representing all numbers x whose distance from

8 is exactly 12 units.

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If the expected value of a quantity is 2.6 and the absolute error must be less than 0.04​, write a compound inequality to find the acceptable measured values.

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The FDA permits up to 10ml of "mammalian excreta" in every pound of coca beans. Write an absolute value inequality that could be used to determine if a pound of coca beans is within this limit.

(Do not use spaces)

(Hint: Remember, the goal is to have 0 "mammalian excreta")

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You are hired by the Kraft company to inspect their Mac and Cheese. Each box should weigh 7.25kg. Kraft will allow a .5kg allowance on the weight of the box. Write an absolute value inequality to determine what weights are acceptable.

Do not use spaces

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Cars A and B are the most expensive cars on the market. Car A cost $130,000. Car B is more than $15,000 more expensive. Create an Inequality to show the possible values of Car B.

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A 2 Liter bottle is supposed to have 67.63 ounces of soda in it. The company will ship bottles as long as they have between 65.23 and 70.03 ounces of soda. Create an absolute value inequality that can be programmed into the bottling computer to determine if each bottle should be passed, or rejected.