Average Rates of Change 6. Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The following is a graph of a typical utility function UA a. Find the average rate of change of U as x changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. 20아 (4, 161) 150- (3, 138) b. Why do you think the average rates of change are decreasing as x increases? (2, 109) 100 (1, 70) 3아- Number of units of product Utility (pleasure units)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 51E
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Average Rates of Change
6. Utility is a type of function that occurs in economics. When a consumer receives x units of a
certain product, a certain amount of pleasure, or utility U, is derived. The following is a graph of a
typical utility function
UA
a. Find the average rate of change of U as x
changes from 0 to 1; from 1 to 2; from 2
to 3; from 3 to 4.
200
(4, 161)
150-
(3, 138)
b. Why do you think the average rates of
change are decreasing as x increases?
(2, 109)
100-
(1, 70)
50
Number of units of product
Utility (pleasure units)
Transcribed Image Text:Average Rates of Change 6. Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The following is a graph of a typical utility function UA a. Find the average rate of change of U as x changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. 200 (4, 161) 150- (3, 138) b. Why do you think the average rates of change are decreasing as x increases? (2, 109) 100- (1, 70) 50 Number of units of product Utility (pleasure units)
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