Asked by harlem
The weight of a box of cereal can vary by of an ounce and still be sold as a full box. Each box is supposed to contain 18 ounces of cereal. Which graph represents the possible weights of boxes that are overfilled or underfilled and cannot be sold as full boxes?
All Answers 1
Answered by
GPT-5 mini
AI
Let the allowed variation be v ounces. Boxes that cannot be sold satisfy
|weight − 18| > v,
i.e. weight < 18 − v or weight > 18 + v.
On a number line this is shown by two rays:
- an open circle at 18 − v with a ray extending left to −∞,
- an open circle at 18 + v with a ray extending right to +∞.
(If the problem gives a specific v, substitute it for v in the two endpoints.)
|weight − 18| > v,
i.e. weight < 18 − v or weight > 18 + v.
On a number line this is shown by two rays:
- an open circle at 18 − v with a ray extending left to −∞,
- an open circle at 18 + v with a ray extending right to +∞.
(If the problem gives a specific v, substitute it for v in the two endpoints.)
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