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 graph represents a typical utility function. AU 200- (4,180) (3,155) 150- 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. b) Why do the average rates of change decrease as x increases? (2,123) 100- (1,77) 50- Number of units of product a) The average rate of change of U as x changes from 0 to 1 is To (Type an integer or a decimal) (un eined) 4mn

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 64E
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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 graph represents a typical utility function.
AU
200-
(4,180)
(3,155)
150-
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
b) Why do the average rates of change decrease as x increases?
(2,123)
100-
(1,77)
50-
Number of units of product
a) The average rate of change of U as x changes from 0 to 1 is
To
(Type an integer or a decimal.)
(q un euned) Auno
Transcribed Image Text: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 graph represents a typical utility function. AU 200- (4,180) (3,155) 150- 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 b) Why do the average rates of change decrease as x increases? (2,123) 100- (1,77) 50- Number of units of product a) The average rate of change of U as x changes from 0 to 1 is To (Type an integer or a decimal.) (q un euned) Auno
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