The gross pay for a two-week period is $1371.50. Whether a $15/hour raise without overtime pay is preferable depends on typical work hours and overtime.
To calculate the gross pay for the two-week period, we can use the following steps:
For the first week (46 hours):
Regular pay = 40 hours * $13/hour
Overtime pay = 6 hours * $13/hour * 1.5
Total pay for the first week = Regular pay + Overtime pay
For the second week (51 hours):
Regular pay = 40 hours * $13/hour
Overtime pay = 11 hours * $13/hour * 1.5
Total pay for the second week = Regular pay + Overtime pay
The total gross pay for the two-week period is the sum of the total pay for the first week and the total pay for the second week.
Now, let's calculate the gross pay for the two-week period using the given information:
For the first week:
Regular pay = 40 hours * $13/hour = $520
Overtime pay = 6 hours * $13/hour * 1.5 = $117
Total pay for the first week = $520 + $117 = $637
For the second week:
Regular pay = 40 hours * $13/hour = $520
Overtime pay = 11 hours * $13/hour * 1.5 = $214.50
Total pay for the second week = $520 + $214.50 = $734.50
Total gross pay for the two-week period = $637 + $734.50 = $1371.50
Now, let's consider the thought question about the pay raise:
If you were to receive a pay raise of $15 an hour with no overtime pay, it would be beneficial if you typically work less than 40 hours a week. However, if you often work overtime, then keeping your current rate and receiving time-and-a-half overtime pay would likely result in a higher overall income.
Ultimately, whether a $15 per hour raise without overtime pay is preferable to keeping your current rate and receiving overtime depends on your typical work schedule and the amount of overtime you usually work.