High School

A coffee machine dispenses 8-ounce cups of coffee automatically. The amount of coffee may vary by 3%. What are the least and greatest number of ounces the coffee machine may dispense?

a) 7.760 oz and 8.240 oz
b) 7.760 oz and 8.320 oz
c) 7.840 oz and 8.240 oz
d) 7.840 oz and 8.320 oz

Answer :

Final answer:

The least and greatest amount of coffee that the machine may dispense are 7.76 ounces and 8.24 ounces, respectively, due to the 3% variance in the amount dispensed from an 8-ounce serving.

Explanation:

The student is asking about the range of liquid volume a coffee machine might dispense which varies by 3% from an 8-ounce cup. To find the least and greatest number of ounces, we must calculate 3% of 8 ounces and then subtract and add this value to 8 ounces respectively. Three percent of 8 ounces is 0.24 ounces (8 x 0.03 = 0.24). Therefore the least number of ounces is 8 ounces minus 0.24 ounces, resulting in 7.76 ounces. The greatest number is 8 ounces plus 0.24 ounces, resulting in 8.24 ounces.