1. **State the problem:** Several friends want to buy basketball shoes costing $59.17. They earn $9 per hour doing yard work. We need to find who earned enough money to buy the shoes and write an inequality representing this.
2. **Write the inequality:** Let $h$ be the total hours worked. The money earned is $9h$. To buy the shoes, the money earned must be at least $59.17$, so:
$$9h \geq 59.17$$
3. **Calculate total hours for each friend:**
- Chad: $3 \frac{1}{2} + 3 \frac{1}{2} = 3.5 + 3.5 = 7$
- Jason: $4 + 2 \frac{3}{4} = 4 + 2.75 = 6.75$
- Martin: $3 \frac{1}{2} + 3 = 3.5 + 3 = 6.5$
- Zek: $2 \frac{1}{2} + 3 \frac{3}{4} = 2.5 + 3.75 = 6.25$
4. **Calculate money earned:**
- Chad: $9 \times 7 = 63$
- Jason: $9 \times 6.75 = 60.75$
- Martin: $9 \times 6.5 = 58.5$
- Zek: $9 \times 6.25 = 56.25$
5. **Determine who earned enough:**
- Chad: $63 \geq 59.17$ (enough)
- Jason: $60.75 \geq 59.17$ (enough)
- Martin: $58.5 < 59.17$ (not enough)
- Zek: $56.25 < 59.17$ (not enough)
**Final answer:** Chad and Jason earned enough money to buy the basketball shoes.
**Inequality representing the situation:**
$$9h \geq 59.17$$
Yard Work Earnings A515B8
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