height of water in the vase (inches) volume of water in the vase (cups) 1 0.24 2 0.96 2.5 1.5 3 2.16 4.25 4.335 a. What is the average rate of change of the height of water in the vase with respect to the volume of water in the base as the volume changes from O cup to 2.5 cups? Hint: What is the net change in each quantity? How can you use this to determine an average rate of change? The average rate of change is 0.6 (inches per cup Preview b. What is the average rate of change of the height of water in the vase with respect to the volume of water in the base as the volume changes from 2 cups to 3 cups? Hint: What is the net change in each quantity? How can you use this to determine an average rate of change? The average rate of change is 0.66 inches per cup Preview 0.66 = 0.66.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 5E
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height of water in the
vase (inches)
volume of water in the
vase (cups)
1
0.24
2
0.96
2.5
1.5
3
2.16
4.25
4.335
a. What is the average rate of change of the height
of water in the vase with respect to the volume
of water in the base as the volume changes from
O cup to 2.5 cups? Hint: What is the net change
in each quantity? How can you use this to
determine an average rate of change?
The average rate of change is
0.6
(inches per cup
Preview
b. What is the average rate of change of the height
of water in the vase with respect to the volume
of water in the base as the volume changes from
2
cups
to 3 cups? Hint: What is the net change in
each quantity? How can you use this to
determine an average rate of change?
The average rate of change is
0.66
inches per cup
Preview
0.66 = 0.66.
Transcribed Image Text:height of water in the vase (inches) volume of water in the vase (cups) 1 0.24 2 0.96 2.5 1.5 3 2.16 4.25 4.335 a. What is the average rate of change of the height of water in the vase with respect to the volume of water in the base as the volume changes from O cup to 2.5 cups? Hint: What is the net change in each quantity? How can you use this to determine an average rate of change? The average rate of change is 0.6 (inches per cup Preview b. What is the average rate of change of the height of water in the vase with respect to the volume of water in the base as the volume changes from 2 cups to 3 cups? Hint: What is the net change in each quantity? How can you use this to determine an average rate of change? The average rate of change is 0.66 inches per cup Preview 0.66 = 0.66.
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