Rate of Change Answers

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1
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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.

2
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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.
3

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.

4

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.
5

faster than✔ slower thanthe same amount as

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

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Rate of Change Answers — 2627 ALGEBRA II A