Final Answer:
The rate of change for Sarah's earnings is $7.75 per hour.
Step-by-step explanation:
The rate of change is calculated as the change in earnings divided by the change in hours:
Rate of change = (Change in earnings) / (Change in hours).
Given that Sarah earns $15.50 for 2 hours and $31.00 for 4 hours, the calculations are as follows:
Rate of change = ($31.00 - $15.50) / (4 - 2).
Simplifying:
Rate of change = $15.50 / 2.
Therefore, the rate of change is $7.75 per hour, representing the amount Sarah earns for each additional hour worked at the concession stand.