1. Let's understand the problem: Connor works 35 hours a week and gets paid 18.25 for each hour he works normally. 2. If he works extra hours (called overtime), he gets paid more for those hours. Specifically, he gets time-and-a-half, which means 1.5 times his normal pay rate. 3. Connor wants to earn at least 800 in total each week. We need to find out how many extra hours he must work to make that happen. 4. First, calculate how much Connor earns for his normal 35 hours: $$35 \times 18.25 = 638.75$$ 5. Now, let’s say Connor works $x$ extra hours. For each extra hour, he earns: $$18.25 \times 1.5 = 27.375$$ 6. The total money Connor earns is the normal pay plus the overtime pay: $$638.75 + 27.375x$$ 7. We want this total to be at least 800, so: $$638.75 + 27.375x \geq 800$$ 8. Subtract 638.75 from both sides: $$\cancel{638.75} + 27.375x - \cancel{638.75} \geq 800 - 638.75$$ $$27.375x \geq 161.25$$ 9. Now divide both sides by 27.375 to find $x$: $$x \geq \frac{161.25}{27.375}$$ 10. Calculate the division: $$x \geq 5.89$$ 11. Since Connor can't work a fraction of an hour in this context, he needs to work at least 6 extra hours. **Final answer:** Connor needs to work a minimum of 6 overtime hours to earn at least 800 in a week.