Question

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.)

Answer 1

$0.50

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:

`|x-5.77| \leq (1)/(32) \ --- \ (1)`

Using the method of absolute value inequality;

`- (1)/(32) \leq x -5.77 \leq (1)/(32)`

`5.77- (1)/(32) \leq x \leq (1)/(32)+ 5.77`

`5.77- 0.03125\leq x \leq 0.03125+ 5.77`

`5.73875 \leq x \leq 5.80125`

The amount per kilogram undercharged or overcharged is :

`=(1)/(32) * 15.99`

= $0.50