Final answer:
Carly was paid more last week than Stephen, and she was paid $43.88 more.
Step-by-step explanation:
In order to determine who was paid more last week, we need to compare Carly and Stephen's earnings.
Carly worked 38 hours and made $731.88, while Stephen worked 42 hours and made $16 per hour.
First, we need to calculate Carly's earnings. Since she worked 38 hours and didn't have any overtime, her earnings would just be $731.88.
Next, we calculate Stephen's earnings. He worked 42 hours, which means 40 regular hours and 2 overtime hours. For the regular hours, he earned a total of 40 * $16 = $640. For the overtime hours, he earned time-and-a-half, which is $16 * 1.5 = $24 per hour. So, for the 2 overtime hours, he earned 2 * $24 = $48. Adding these two amounts together gives us a total of $640 + $48 = $688 for Stephen's earnings.
Therefore, Carly was paid more last week, and she was paid $731.88 - $688 = $43.88 more than Stephen.