the weight of a box of cereal can vary by $\frac{1}{4}$ of an ounce and still be sold as a full box. each…

the weight of a box of cereal can vary by $\frac{1}{4}$ 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?

the weight of a box of cereal can vary by $\frac{1}{4}$ 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

Explanation:

Step1: Calculate the acceptable weight range

The acceptable variation is $\frac{1}{4}= 0.25$ ounces. The lower - bound of the acceptable weight is $18 - 0.25=17.75$ ounces and the upper - bound is $18 + 0.25 = 18.25$ ounces.

Step2: Determine the non - acceptable weights

Boxes that are overfilled or underfilled (not acceptable) have weights $x<17.75$ or $x > 18.25$. On a number line, this is represented by an open - circle at $17.75$ and $18.25$ with arrows pointing away from the interval $[17.75,18.25]$.

Answer:

The second graph (with open - circles at 17.75 and 18.25 and arrows pointing left of 17.75 and right of 18.25)