Question

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A company makes and boxes spaghetti.
One machine fills each box with approximately 32 ounces of spaghetti.
After the boxes are filled, another machine weighs each box.
A box is discarded if the weight of the box differs by more than 0.25
ounce from the target weight of 32 ounces.
Which inequality can be used to find the range of acceptable weights, x, of the spaghetti? With an explanation.

Answer 1

The inequality that can be used to find the range of acceptable weights, x of the spaghetti is (x + 0.25) ≤ 32

Given:

Weight of each box of be spaghetti = approximately 32 ounces

x = Range of weight of each box

Difference in weight = not more than 0.25

The inequality:

(Range of weight of each box - Difference in weight) ≥ Weight of each box of be spaghetti

(x + 0.25) ≤ 32

Therefore, the range of weight added to the difference in weight should be equal to or less than 32 for the weight to be acceptable.

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