Final answer:
Ray would make more money working 40 hours a week for two weeks than working 32 hours one week and 46 hours the next.
Step-by-step explanation:
In order to determine whether Ray would make more money working 40 hours a week for two weeks or working 32 hours one week and 46 hours the next, we need to calculate the total income for each option.
Option 1: Working 40 hours a week for two weeks
If Ray earns $X per hour, his total income for this option would be 40 hours/week * $X/hour * 2 weeks = $80X.
Option 2: Working 32 hours one week and 46 hours the next
If Ray earns $X per hour, his total income for the first week would be 32 hours * $X/hour = $32X, and his total income for the second week would be 46 hours * $X/hour = $46X.
So his total income for this option would be $32X + $46X = $78X.
Therefore, Ray would make more money by working 40 hours a week for two weeks, as his total income would be $80X compared to $78X for the other option.