The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compare to this number?Suppose that the height of the slide is 2 feet, when x = 20. What is the average rate of change over the entire slide?
Accepted Solution
A:
First we calculate the ambio rate from x = 0 to x = 15: We have: R = ((80-10) / (0-15)) R = -4.666666667 We now calculate for the entire interval: from x = 0 to x = 20: R = ((80-2) / (0-20)) R = -3.9 Answer: What is the average rate of change over the entire slide? R = -3.9 The average rate of change from x = 0 to x = 15 is about -4.667. How does the average rate change from x = 0 to x = 20 compare to this number? The percentage difference is: (-3.9 / -4.666666667) * (100) = 83.57142857% 100-83.57142857 = 16.42857143%