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. If the clerk continues at the same rate, he will meet his goal of 16 transactions in 1 hour. Choose... At his current rate, the clerk will complete 12 transactions in 1 hour. Choose... At his current rate, the clerk will complete 9 transactions every half hour. Choose... If the clerk continues at this rate for a 6-hour shift, he will complete 96 transactions. Choose...

Answer 1

Explanation:

16 transactions per hour (60 minutes).

in short :

16/1

or 16/60 (for minutes instead of 1 hour)

in 20 minutes 6 transactions.

so,

6/20

hour many transactions then in 1 hour (60 minutes) ?

60 = 20×3

so, to bring the ratio to 1 hour (60 minutes) we need to multiply the denominator by 3. and to keep the ratio value, we need to to do the same thing also to the numerator.

therefore,

6/20 × 3/3 = 18/60

so, the clerk will do 18 transactions per hour.

he will meet his goal of 16 : true

he will even exceed but definitely meet his goal.

12 transactions in 1 hour : false

9 transactions every half hour : true

as he will do 18 transactions in 1 hour, he will do half of these transactions (9) in half an hour.

96 transactions in 6 hours : false

18/1

6 = 1×6

so, with the same trick as above we get

18/1 × 6/6 = 108/6

and we see, he would complete 108 transactions in a 6- hour shift.

96 would be right, if the actual ratio would be 16/1 :

16/1 × 6/6 = 96/6