Question

Three students have summer jobs. The proportional relationship between their pay and the hours they work is shown.

Student A: Time (hours) 5 13
Pay (dollars) 67.50 175.50
Student B: $189.00 for 14 hours
Student C: The equation p = 13.5h, where p represents total pay and h represents hours worked.
Which student is paid the most for 20 hours of work?
Option 1: Student A, who is paid $268 for 20 hours of work
Option 2: Student B, who is paid $189 for 20 hours of work
Option 3: Student C, who is paid $260 for 20 hours of work
Option 4: All three students are paid $270 for 20 hours of work

Answer 1

After calculating the hourly rates for all three students, it is clear that all of them earn $13.50 per hour, and therefore, all three students would be paid $270 for 20 hours of work.

Step-by-step explanation:

To determine which student is paid the most for 20 hours of work, we must calculate or deduce the pay for each student.

• For Student A, we can start by using the given time and pay to find the hourly rate. Dividing $67.50 by 5 hours gives $13.50 per hour. Multiplying this rate by 20 hours, we find that Student A would be paid $270 ($13.50 x 20 hours).
• Next, we have Student B, who earns $189 for 14 hours. If we calculate the hourly rate, $189 divided by 14 hours gives approximately $13.50 per hour. So for 20 hours of work, Student B would also earn $270 ($13.50 x 20 hours).
• Lastly, we have Student C, whose pay is defined by the equation p = 13.5h. Plugging in 20 hours, we get $270 (13.5 x 20 hours).

All the calculations reveal that Option 4 is correct, and all three students are paid $270 for 20 hours of work.