Describe how to calculate the average rate of change between two (input, output) pairs of a function. The DogHouse food truck sells hot dogs from noon until 9:00 pm or whenever they run out of hot dogs – whichever comes first. The following are the sales from yesterday.

Time12:301:303:003:455:006:157:308: 009:00
Total # of hot dogs sold156480110225317518675712
a. What was the average rate of change from 12:30 until 3:00?

b. What was the average rate of change from 5:00 until 9:00?

c. What was the average rate of change for the entire day?

d. If today they have 550 hotdogs and expect similar business, when might they predict being able to close the food truck? Explain how you made your prediction.