The graph shows the amount of water in a water tank over several hours. a. What is the average rate of change on the interval [0,4]? gallons per hour Amount of Water in Cistern 12 10- 8- 6- 4- 2- 0- 4. Hours 10 a. What is the average rate of change on the interval [0,4] and on the interval [6,10]? What is a possible explanation for what each rate of change indicates? b. What is a possible explanation for what occurred between 4 and 6 h? c. What is the average rate of change on the interval [0,10]? What does the rate of change mean? Does this rate of change give a good indication as to what is happening with the water in the cistern from 0 h to 10 h? Explain. Water (thousands of gallons)

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