A company manufacturers a 16-oz box of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

15.15 oz to 16.00 oz

15.85 oz to 16.00 oz

15.85 oz to 16.15 oz

16.15 oz to 16.45 oz

15.85 oz to 16.15 oz

Answer: The range of acceptable values for production to continue is:

Third option: 15.85 oz to 16.15 oz

Be the weight of the box "x":

If the discrepancy in weight is more than 0.15 oz, the production is stopped; than means if the dicrepancy in weight is less than 0.15 oz the production continues:

|x-16|<=0.15 the production continues

|z|<=a→-a<=z<=a

In this case z=x-16, and a=0.15, then:

|x-16|<=0.15→

-0.15<=x-16<=0.15

Solving forx: Adding 16:

-0.15+16<=x-16+16<=0.15+16→

15.85<=x<=16.15

Answer: The range of acceptable values for production to continue is:

Third option: 15.85 oz to 16.15 oz