1. **State the problem:** Ingrid works 35 hours per week at a rate of 11.82 per hour. She is paid overtime at time and a half for any hours worked beyond 35 hours. Last week, she worked 42 hours. We need to find her total pay for last week. 2. **Formula and rules:** - Regular pay = Regular hours \( \times \) Regular rate - Overtime pay = Overtime hours \( \times \) Overtime rate - Overtime rate = 1.5 \( \times \) Regular rate - Total pay = Regular pay + Overtime pay 3. **Calculate regular pay:** - Regular hours = 35 - Regular rate = 11.82 - Regular pay = $$35 \times 11.82 = 413.7$$ 4. **Calculate overtime pay:** - Overtime hours = Total hours - Regular hours = $$42 - 35 = 7$$ - Overtime rate = $$1.5 \times 11.82 = 17.73$$ - Overtime pay = $$7 \times 17.73 = 124.11$$ 5. **Calculate total pay:** - Total pay = Regular pay + Overtime pay = $$413.7 + 124.11 = 537.81$$ **Final answer:** Ingrid's weekly pay for last week is $$537.81$$.