Interpreting the Average Rate of Change: Newton's Law of Cooling Newton's law of cooling describes how the temperature of an object changes over time. Suppose an aluminum pan is removed from an oven and left to cool in a room where the air temperature is constant. The table gives the temperature A(t) in degrees Fahrenheit of the aluminum as a function of time t minutes since it was removed from the oven. t=Time in A=temperature minutes Fo 0 300 30 150 60 100 90 79 120 73 150 72 180 71 210 71 a) Calculate the average rate of change from t = 0 to t=30. Explain the meaning of the number you calculated in terms of the temperature of the aluminum. b) Calculate the average rate of change from t = 90 to t = 120. c) Use the results in parts a and b to answer the following question: Does a hot object cool more rapidly when the difference between its temperature and that of the air is larger or when that difference is smaller? d) Use the average rate of change to estimate the temperature of the aluminum 100 minutes after it is removed from the oven