8. Find the average rate of change for the interval [0, 15]. If a person only had this piece of information without the video, table, or graph, what conclusion might that person draw? Explain your answer.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Answer 8.
7. Sam said there is a greater average rate of change between second 2 and second 4. Jim said there is a
greater average rate of change between the interval [9, 15]. Who do you agree with and explain your
reasoning.
Average rate of change in [2, 9]
-
f(4)-f(2)
4-2
5-8
2
= -1.5
Average rate of change in [9, 15]
f(15)-f(9)
15-9
10.25-7
6
3.25
6
0.54
8. Find the average rate of change for the interval [0, 15]. If a person only had this piece of information
without the video, table, or graph, what conclusion might that person draw? Explain your answer.
Transcribed Image Text:7. Sam said there is a greater average rate of change between second 2 and second 4. Jim said there is a greater average rate of change between the interval [9, 15]. Who do you agree with and explain your reasoning. Average rate of change in [2, 9] - f(4)-f(2) 4-2 5-8 2 = -1.5 Average rate of change in [9, 15] f(15)-f(9) 15-9 10.25-7 6 3.25 6 0.54 8. Find the average rate of change for the interval [0, 15]. If a person only had this piece of information without the video, table, or graph, what conclusion might that person draw? Explain your answer.
Average Rate of Change Activity
Roundabout-Rate of Change
Here are the graph and table to represent the man's distance from the camera for the given time interval from
the video. Use both the graph and the table to answer the following questions. Be sure to include units where
appropriate.
MA
distance from camera
time
(seconds)
0
1
2345
6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
time
seconds
distance
(feet)
3
7
8
3.25
5
8.75
5
3.25
time
(seconds)
8
9
10
12
13
14
15
distance
(feet)
8
7
3
5.5
8.75
8.75
8.75
10.25
Transcribed Image Text:Average Rate of Change Activity Roundabout-Rate of Change Here are the graph and table to represent the man's distance from the camera for the given time interval from the video. Use both the graph and the table to answer the following questions. Be sure to include units where appropriate. MA distance from camera time (seconds) 0 1 2345 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 time seconds distance (feet) 3 7 8 3.25 5 8.75 5 3.25 time (seconds) 8 9 10 12 13 14 15 distance (feet) 8 7 3 5.5 8.75 8.75 8.75 10.25
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