Rate of Change Answers

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Answers:
Blank 1:50
Blank 2:(2, 50) and (5, 35)
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Blank 1:60
Blank 2:(1, 60) and (4, 50)
Blank 3:(1, 60) and (4, 50)
4

(, 40)

Answer:

5

9

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.

10

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.
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.

12

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.
13

faster than✔ slower thanthe same amount as

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

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