Barbara's gross pay for the second week of August is $909.78.
Barbara Smith worked 53.50 hours in the second week of August and earns $15.10 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours. To calculate Barbara's gross pay, we need to determine the number of regular hours and overtime hours she worked.
Regular hours = 40
Overtime hours = 53.50 - 40 = 13.50
For the regular hours, Barbara earns $15.10 per hour. So her regular pay is:
Regular pay = 40 hours x $15.10/hour = $604.00
For the overtime hours, Barbara earns 1.5 times her regular hourly rate. So her overtime pay is:
Overtime pay = 13.50 hours x $22.65/hour = $305.78
Therefore, Barbara's gross pay for the second week of August is:
Gross pay = Regular pay + Overtime pay = $604.00 + $305.78 = $909.78