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.)

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Answer:

$0.50

Step-by-step explanation:

Suppose that a person  bought  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

Let assume x is the range of the  weight listed on the package,

Then:

[tex]|x-5.77| \leq \dfrac{1}{32} \ --- \ (1)[/tex]

Using the method of absolute value inequality;

[tex]- \dfrac{1}{32} \leq x -5.77 \leq \dfrac{1}{32}[/tex]

[tex]5.77- \dfrac{1}{32} \leq x \leq \dfrac{1}{32}+ 5.77[/tex]

[tex]5.77- 0.03125\leq x \leq 0.03125+ 5.77[/tex]

[tex]5.73875 \leq x \leq 5.80125[/tex]

The amount per kilogram undercharged or overcharged is :

[tex]=\dfrac{1}{32} \times 15.99[/tex]

= $0.50

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