You buy six T-bone steaks that cost $15.99 per pound. The weight that is listed on the package is 5.77 pounds. The scale that weighed the package is accurate to within 1 32 pound. How much per kilogram might you be undercharged or overcharged? (Round to the nearest cent.)

Amount per kilogram, undercharged or overcharged is 0.50

Step-by-step explanation:

Given:

cost of T-bone steaks per pound = $ 15.99

weight listed on package = 5.77 lb

Accuracy of the scale = 1/32 lb

To find:

Amount undercharged or overcharged

Solution:

Let x represent the weight of the package.

Then compute the error in the weight

| x - 5.77 | < 1 / 32

This makes an absolute value inequality

If an inequality is given in the form | x | < a then solution is in the form:

–a < x < a.

If an inequality is in the form | x | > a, then solution splits in the form:

x < –a or x > a.

compute the amount undercharged or overcharged:

First multiply the above inequality by cost of T-bone steaks per pound

15.99 |x - 5.77| < 15.99 (1 / 32)

15.99 |x - 5.77| < 15.99(0.03125)

15.99 |x - 5.77| < 0.4996875

15.99 |x - 5.77| < 0.50

Hence the amount undercharged or overcharged is $0.50

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