Final answer:
To calculate earnings for different numbers of work hours, the hourly wage is first determined by dividing the total earnings by the total hours worked. The hourly wage is then multiplied by the number of hours requested to find the earnings for each period.
Step-by-step explanation:
The student is asking how much money they would earn for different numbers of work hours if they are paid $720 for 18 hours. This is a basic proportion problem in mathematics. To find the earnings for a different number of hours, we need to calculate the hourly wage and then multiply by the desired number of hours.
First, we calculate the hourly wage:
- Hourly wage = Total earnings / Total hours = $720 / 18 hours = $40 per hour
Next, we calculate the earnings for each requested number of hours:
- Earnings for 3 hours = 3 hours * $40/hour = $120
- Earnings for 9 hours = 9 hours * $40/hour = $360
- Earnings for 6 hours = 6 hours * $40/hour = $240
Therefore, for 3 hours of work, the student would earn $120, for 9 hours they would earn $360, and for 6 hours they would earn $240.