To calculate Talitha Bivens' gross earnings for the pay period, we need to determine how many hours she worked at her regular rate and how many hours are considered overtime.
- Regular hours: 40 hours
- Overtime hours: 47 hours - 40 hours = 7 hours
Now, let's calculate her regular earnings and overtime earnings.
Regular earnings:
- Regular pay rate: $6.10 per hour
- Regular earnings for 40 hours: \( 40 , \text{hours} \times 6.10 , \text{$/hour} = 244.00 , \text{$} \)
Overtime pay rate:
- Overtime is paid at time-and-a-half: \( 6.10 \times 1.5 = 9.15 , \text{$/hour} \)
Overtime earnings:
- Overtime earnings for 7 hours: \( 7 , \text{hours} \times 9.15 , \text{$/hour} = 64.05 , \text{$} \)
Total gross earnings:
- Total gross earnings = Regular earnings + Overtime earnings
- Total gross earnings = \( 244.00 , \text{$} + 64.05 , \text{$} = 308.05 , \text{$} \)
Therefore, Talitha Bivens' gross earnings for the pay period is $308.05.