1. **State the problem:** Calculate Dom's total earnings for a week where he works from 8:30 am to 5:30 pm Tuesday to Saturday. 2. **Identify the work hours and pay rates:** - Regular hourly wage: $32.3$ - Regular hours per week: $35$ - Overtime pay: $1.5$ times regular rate for first 4 overtime hours - Double time pay: $2$ times regular rate for hours beyond 4 overtime hours 3. **Calculate daily work hours:** From 8:30 am to 5:30 pm is $9$ hours per day. 4. **Calculate total hours worked in the week:** Days worked: Tuesday to Saturday = $5$ days Total hours = $9 \times 5 = 45$ hours 5. **Calculate overtime hours:** Regular hours = $35$ Overtime hours = $45 - 35 = 10$ hours 6. **Break down overtime hours:** - First 4 hours at time and a half: $4$ hours - Remaining overtime hours at double time: $10 - 4 = 6$ hours 7. **Calculate earnings:** - Regular pay = $32.3 \times 35$ - Overtime pay (time and a half) = $32.3 \times 1.5 \times 4$ - Double time pay = $32.3 \times 2 \times 6$ 8. **Calculate each component:** - Regular pay = $$32.3 \times 35 = 1130.5$$ - Overtime pay = $$32.3 \times 1.5 \times 4 = 193.8$$ - Double time pay = $$32.3 \times 2 \times 6 = 387.6$$ 9. **Calculate total earnings:** $$1130.5 + 193.8 + 387.6 = 1711.9$$ **Final answer:** Dom earns $1711.9$ for the week.