Question

you manage the shipping department of a bottled water company. you need a formula to find the number of cases that can be shipped in a certain number of hours, h. each case contains 24 bottles of water. production moves at a rate of 200 bottles per minute. one of the following formulas will allow you to find the number of cases, n, that are ready to ship in a certain number of hours, h. which one?
a ( n = 24 \times 200 \times h )
b ( n = 24 \times 200 \times 60 \times h )
c ( n = (200 \times 24) div h )
d ( n = (200 \times h) div 24 )
e ( n = (200 \times 60 \times h) div 24 )

Explanation:

Step1: Calculate total bottles per hour

Production rate is 200 bottles per minute. There are 60 minutes in an hour, so total bottles per hour: \(200\times60\). Over \(h\) hours, total bottles: \(200\times60\times h\).

Step2: Find number of cases

Each case has 24 bottles. To find number of cases \(n\), divide total bottles by 24: \(n=(200\times60\times h)\div24\).

Answer:

E. \(n = (200\times60\times h)\div24\)