Answer:
AI-generated answer
Part A:
To determine which tennis players earned enough money to attend the camp, we need to calculate the total amount earned by each player and compare it to the cost of the camp.
Given that each player earned $825 per hour and the table shows the number of hours worked by each player, we can calculate the total earnings for each player.
- Bany worked 7 hours (Sunday) + 4 hours (Saturday) = 11 hours
Total earnings for Bany = 11 hours * $825/hour = $9075
- Chiu worked 6 hours (Sunday) + 3 hours (Saturday) = 9 hours
Total earnings for Chiu = 9 hours * $825/hour = $7425
- Danielle worked 3 hours (Sunday) + 4 hours (Saturday) = 7 hours
Total earnings for Danielle = 7 hours * $825/hour = $5775
- Maria worked 4 hours (Sunday) + 4 hours (Saturday) = 8 hours
Total earnings for Maria = 8 hours * $825/hour = $6600
- Betsy worked 4 hours (Sunday) + 4 hours (Saturday) = 8 hours
Total earnings for Betsy = 8 hours * $825/hour = $6600
Comparing the total earnings to the cost of the camp ($74.50), we can determine which players earned enough money:
- Bany earned $9075, which is more than the cost of the camp.
- Chiu earned $7425, which is less than the cost of the camp.
- Danielle earned $5775, which is less than the cost of the camp.
- Maria earned $6600, which is less than the cost of the camp.
- Betsy earned $6600, which is less than the cost of the camp.
Therefore, Bany is the only tennis player who earned enough money to attend the camp.
Part B:
To represent the situation using an inequality, we need to compare the total earnings to the cost of the camp. Let's use the variable E to represent the total earnings.
The inequality that represents the situation is:
E ≥ $74.50
This inequality states that the total earnings (E) must be greater than or equal to $74.50 for a tennis player to have enough money to attend the camp.
Explanation: