Mel: (2, [___]) and (5, [___])
(2, 50) and (5, 35)
Mel’s rate of change is [___]. That means that her height in the air decreases [___] feet every second.
Victor: (1, [___]) and ([___], [___])
(1, 60) and (4, 50)
✔ –5–1/51/55
The graph shows the side view of a waterslide. Dimensions are in feet. Two points on slide:
Select the points you need to calculate the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet.
The average rate of change is –8✔ –14/3–3–2.
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.
Which of the following facts did you include in your explanation?
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.
Which of the following facts did you include in your response?
faster than✔ slower thanthe same amount as
⇒ -3.9
-3.9
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Victor: (1, ) and (, )
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Mel: (2, ⇒ 50) and (5, ⇒ 35)
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