Subjects algebra

Tennis Camp Earnings 33A1A9

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We want to find which tennis players earned enough money to attend a tennis day camp costing 74.50 each by washing cars at 8.25 per hour. 2. **Write the inequality:** Let $h$ be the total hours worked. The money earned is $8.25 \times h$. To attend camp, money earned must be at least 74.50, so: $$8.25h \geq 74.50$$ 3. **Calculate total hours for each player:** - Betsy: $7\frac{1}{4} + 1\frac{1}{4} = 7.25 + 1.25 = 8.5$ - China: $6 + 3\frac{3}{4} = 6 + 3.75 = 9.75$ - Danielle: $5\frac{1}{2} + 3 = 5.5 + 3 = 8.5$ - Maria: $4\frac{1}{2} + 4\frac{3}{4} = 4.5 + 4.75 = 9.25$ 4. **Calculate money earned:** - Betsy: $8.25 \times 8.5 = 70.125$ - China: $8.25 \times 9.75 = 80.4375$ - Danielle: $8.25 \times 8.5 = 70.125$ - Maria: $8.25 \times 9.25 = 76.3125$ 5. **Compare to camp cost:** - Betsy: $70.125 < 74.50$ (Not enough) - China: $80.4375 \geq 74.50$ (Enough) - Danielle: $70.125 < 74.50$ (Not enough) - Maria: $76.3125 \geq 74.50$ (Enough) 6. **Answer:** China and Maria earned enough money to attend the tennis day camp. 7. **Inequality representing the situation:** $$8.25 \times (\text{Saturday hours} + \text{Sunday hours}) \geq 74.50$$