Final answer:
The x-value is the number of hours (5) and the y-value is the amount of water (120 gallons). The rate of change is 24 gallons per hour.
Step-by-step explanation:
To identify the x-value and the y-value in this context, we need to determine which variable represents the independent variable (x) and which represents the dependent variable (y). In this case, the number of hours (5) is the x-value, as it is the input or independent variable. The amount of water (120 gallons) is the y-value, as it is the output or dependent variable. The rate of change can be calculated by dividing the change in the y-value by the change in the x-value. In this scenario, the rate of change would be 120/5 = 24 gallons per hour.
Learn more about Dependent and independent variables in a swimming pool