Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x = 0 to x = 15?
On average, the waterslide drops 14 feet for every 3 feet of horizontal distance (or about 4.7 feet per 1 foot horizontally) from x = 0 to x = 15.
Why have all the rates of change in this assignment been negative? Explain.
All the rates of change have been negative because the problems involve going down a waterslide. To model a slide, you start at the highest point and then decrease in height as you move down. The rate of change compares a drop or decrease in vertical height to an increase in either time or horizontal distance, which results in a negative rate.
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-3.9
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