Final answer:
Gregory's total earnings are calculated by summing his regular hourly wages for 37.5 hours plus the additional overtime pay for hours worked beyond the standard workweek, which are paid at a rate of one and a half times the standard hourly rate.
Step-by-step explanation:
The question asks us to calculate the total earnings of Gregory, a glazier who earns $19.99 per hour for a standard 37.5-hour workweek and time and a half for any hours worked over that. To solve this, we need to add his regular wages to his overtime wages.
The regular workweek hours are 8 + 7.75 + 7.5 + 8 + 7.25 = 38.5 hours, which includes 1 hour of overtime since it's over the standard 37.5 hours. The total hourly pay for the overtime work done on Saturday (10 hours) will be calculated at time and a half.
Regular wages: 37.5 hours × $19.99/hour
Overtime wages for the weekday: 1 hour × ($19.99/hour × 1.5)
Overtime wages for Saturday: 10 hours × ($19.99/hour × 1.5)
We add these amounts together to find Gregory's total earnings for the week.