The correct table representing the relationship between the number of hours Caroline works and her total earnings is:
b. time (hours) 5 6 7
pay $106.25 $127.50 $148.75
Caroline's constant hourly wage is best represented by table b. As she works additional hours, her pay consistently increases by $21.25 per hour.
This aligns with the concept of a linear relationship, where the earnings exhibit a steady and uniform rise with each hour worked.
Options a, c, and d fail to capture this consistent pattern, displaying irregular increments or inaccurately calculated pay for the given hours.
Table b effectively illustrates Caroline's earnings, showcasing the direct correlation between time invested in work and the resulting pay, supporting the notion of a constant hourly wage.