Three students have summer jobs. The proportional relationship between their pay and the hours they work is shown.
Student A:
Time (hours) 5 14
Pay (dollars) 58.75 164.50
Student B: $162.00 for 12 hours
Student C: The equation p = 14.5h, where p represents total pay and h represents hours worked
Which student is paid the most for 20 hours of work?
Student A, who is paid $270 for 20 hours of work
Student B, who is paid $235 for 20 hours of work
Student C, who is paid $290 for 20 hours of work
All three students are paid $235 for 20 hours of work
To find out which student is paid the most for 20 hours of work, we can calculate the pay for each student when they work 20 hours.
For Student A:
Using the proportional relationship between time and pay, we can find the pay for 20 hours:
Pay for 5 hours = $58.75
Pay for 1 hour = $58.75/5 = $11.75
Pay for 20 hours = $11.75 * 20 = $235
For Student B:
Given that Student B earns $162 for 12 hours, we can find the pay for 1 hour:
Pay for 1 hour = $162/12 = $13.50
Pay for 20 hours = $13.50 * 20 = $270
For Student C:
Using the equation p = 14.5h, where p represents total pay and h represents hours worked, we can find the pay for 20 hours:
Pay for 20 hours = 14.5 * 20 = $290
Comparing the pay for 20 hours of work for each student:
- Student A earns $235
- Student B earns $270
- Student C earns $290
Therefore, the student who is paid the most for 20 hours of work is Student C, who is paid $290.