Final answer:
The change in Carol's pay after switching jobs is represented by the integer -4, indicating a $4 decrease in hourly wage.
Step-by-step explanation:
To represent the change in Carol's pay after switching jobs where she gets paid $4 less an hour, we can use an integer. A decrease in pay is represented by a negative integer. Therefore, the change in Carol's pay is represented by the integer -4.
This integer indicates a decrease in hourly wage, so it is a negative number. No complex calculations are necessary; the change is simply the difference in wage before and after, which is clearly stated as being $4 less per hour.