Question
(b) Complete the following table by finding the average rates of change of temperature over consecutive 2-hour intervals. Temperature on Day 3 Interval time
(b) Complete the following table by finding the average rates of change of temperature over consecutive 2-hour intervals. Temperature on Day 3 Interval time (h) [0,2] [2,4] [4,6] [6,8] [8,10] [10, 12] Average rate of 23-24 -0.5 change on interval 2-0 (c) The temperature is decreasing in this 12-hour period. Is the average rate of change of temperature increasing or decreasing? (d) Which of the basic shapes in Figure 2 best describes the graph for Day 3? 6. On Day 4 the temperature also decreases from 24 C to 2 C between midnight and noon. But this time, the rate of change of temperature is increasing. Sketch a rough graph that describes this situation. (You may find it helpful to consider the basic shapes in Figure 2.) 7. Use your answers to Questions 5 and 6 to complete the following table. Temperature Average rate of change Day 3 Day 4
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