Question

Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.

Answer 1

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Explanation:

The weights should be within 0.5% of the actual weight measured.

15.0 pounds

0.005*15 = 0.075

Tolerance of 0.075 pounds

15 - 0.075 = 14.925 pounds

15 + 0.075 = 15.075 pounds

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.