Question

A checkout clerk at a department store is expected to complete 16 transactions every hour.

In the past 20 minutes, he completed 6 transactions.
Choose True or False for each statement.

Statements:

If the clerk continues at the same rate, he will meet his goal of 16 transactions in 1 hour.

At his current rate, the clerk will complete 12 transactions in 1 hour.

At his current rate, the clerk will complete 9 transactions every half hour.

If the clerk continues at this rate for a 6-hour shift, he will complete 96 transactions.

Answer 1

✓ - True If the clerk continues at the same rate, he will meet his goal of 16 transactions in 1 hour.

➜ This is true. The clerk is currently going at 6 transactions per 1/3 hours. 6 * 3 = 18, and 18 > 16.

✗ - False At his current rate, the clerk will complete 12 transactions in 1 hour.

➜ This is false. As stated above, he will complete 18.

✓ - True At his current rate, the clerk will complete 9 transactions every half hour.

➜ Let us set up a proportion to check. Then we will cross-multiply and solve.

`(20\;min)/(6) =(30\;min)/(x)`

180 = 20x

x = 9

➜ Yes, he will complete 9 every half hour.

✗ - False If the clerk continues at this rate for a 6-hour shift, he will complete 96 transactions.

➜ We can utilize a proportion again. 6 hours is equal to 360 minutes. Then, we will cross-multiply and solve.

`(20\;min)/(6) =(360\;min)/(x)`

20x = 2,120

x = 106

➜ He will complete 106 transactions, not 96. It depends on if they're asking for exactly 96 or at least 96.