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Question 8 • Algebra 1

The weight of a box of cereal can vary by 1 fourth 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?

Answer
A
Image with description A number line is labeled from 17.5 to 18.5 in increments of 0.125. The line is shaded from 17.75 to 18.25 with closed circles at 17.75 and 18.25.
B
Image with description A number line labeled from 17 point 5 to 18 point 5 in increments of 0 point 25. There is a closed dot at 17 point 7 5, a ray from the point extends towards the left. Another closed dot at 18 point 2 5, a ray from the point extends towards the right.
C
Image with description A number line labeled from 17 point 5 to 18 point 5 in increments of 0 point 25. There is an open dot at 17 point 7 5, a ray from the point extends towards the left. Another open dot at 18 point 2 5, a ray from the point extends towards the right.
D
Image with description A number line is labeled from 17.5 to 18.5 in increments of 0.125. The line is shaded from 17.75 to 18.25 with open circles at 17.75 and 18.25.

Explanation

A quarter ounce is 0.25 ounce, so boxes from 18 − 0.25 = 17.75 ounces through 18 + 0.25 = 18.25 ounces can still be sold as full boxes. Boxes that cannot be sold as full weigh less than 17.75 ounces or more than 18.25 ounces. The boundary values are excluded, so the graph has open circles and rays extending outward, as in choice C.

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