Question

A company manufactures a 14-ounce box of cereal. Boxes are randomly weighed to ensure the correct amount. If the discrepancy in weight is more than 0.25 ounces, the production is stopped. Which function could represent this situation?

Answer 1

f(x)= 14-x

13.8 oz

14.15

14.2

Answer 2

Answer:

$f(w) = w, \text{ where w} \in (13.75,14.25)$

Step-by-step explanation:

We are given the following information in the question:

Weight of cereal box produced =  14 ounces

If there is discrepancy in weight then the production of the cereal box is stopped.

The discrepancy allowed of 0.25 ounces.

So, if the weight of box lies outside the range $(14 \pm 0.25)\text{ ounces}$, the production will stop.

Let w represent the weight of the cereal boxes, then, it should lie in the range to continue the production:

$13.75 \leq w \leq 14.25$

The function is given by:

$f(w) = w, \text{ where w} \in (13.75,14.25)$