Question

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

Answer 1

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.