Lesson 2.8: Rate of Change Answers

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The graph shows the side view of a waterslide. Dimensions are in feet.

Answers:
Mel’s rate of change is . That means that her height in the air decreases feet every second.:–5
Victor’s rate of change is . That means that his height in the air decreases feet every second.:–10/3
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Question text not available

Answers:
Blank 1:60
Blank 2:4
Blank 3:50
4

⇒ 4

Answer:

4

5

⇒ 50

Answer:

50

6

Mel: (2, [___]) and (5, [___])

Answer:

(2, 50) and (5, 35)

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✔ –5–1/51/55

Answers:
Mel’s rate of change is . That means that her height in the air decreases feet every second.:–5
Victor’s rate of change is . That means that his height in the air decreases feet every second.:–10/3
9

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.

A
(0, 80)
B
(5, 40)
C
(10, 20)
D
(15, 10)
10

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?

Answer:

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.

11

Why have all the rates of change in this assignment been negative? Explain.

Answer:

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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faster than✔ slower thanthe same amount as

A
faster than
B
✔ slower than
C
the same amount as
14

(, 40)

Answer:

5

16

Which of the following facts did you include in your explanation?

A
On average, the slide drops 14 feet for every 3 feet of horizontal distance.
B
On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
17

Which of the following facts did you include in your response?

A
The problems have involved going down a waterslide.
B
To model a slide, you start at the highest point and then decrease as you move down the slide.
C
The rate of change has compared a drop or decrease in vertical height to an increase in either time or horizontal distance.
18

⇒ -3.9

Answer:

-3.9

19

Victor: (1, [___]) and ([___], [___])

Answer:

(1, 60) and (4, 50)

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