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.
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.
compare 16/60 with 6/20
What is the answer
To determine the answers, let's calculate the transactions per minute based on the information provided.
Given:
- Expected transactions per hour: 16
- Transactions completed in the past 20 minutes: 6
First, let's calculate the transactions per minute:
Transactions completed in 20 minutes = 6
Transactions per minute = Transactions per 20 minutes / 20 = 6 / 20 = 0.3 transactions per minute
Now, let's answer each statement:
1. If the clerk continues at the same rate, he will meet his goal of 16 transactions in 1 hour.
False. Since the current rate is 0.3 transactions per minute, to determine the number of transactions in an hour, we multiply the rate by 60 (minutes per hour):
Transactions per hour = Rate per minute * 60 = 0.3 * 60 = 18 transactions per hour
Since the expected goal is 16 transactions per hour, the clerk will not meet his goal if he continues at the same rate.
2. At his current rate, the clerk will complete 12 transactions in 1 hour.
False. As calculated above, the current rate is 0.3 transactions per minute. To determine the number of transactions in an hour, we multiply the rate by 60 (minutes per hour):
Transactions per hour = Rate per minute * 60 = 0.3 * 60 = 18 transactions per hour
Therefore, the clerk will not complete 12 transactions in an hour.
3. At his current rate, the clerk will complete 9 transactions every half hour.
True. Since there are 30 minutes in half an hour, we can calculate the number of transactions by multiplying the rate by 30:
Transactions every half hour = Rate per minute * 30 = 0.3 * 30 = 9 transactions every half hour.
4. If the clerk continues at this rate for a 6-hour shift, he will complete 96 transactions.
True. To determine the number of transactions in a 6-hour shift, we multiply the rate by 60 (minutes per hour) and then by 6 (hours):
Transactions in a 6-hour shift = Rate per minute * 60 * 6 = 0.3 * 60 * 6 = 108 transactions in a 6-hour shift.
Therefore, if the clerk continues at the same rate for a 6-hour shift, he will complete 108 transactions.