Subjects algebra

Yard Work Earnings A515B8

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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:** $$9h \geq 59.17$$