Explanation Given: Physiologists have discovered that steady-state oxygen consumption (measured per unit of mass) in a running animal increases linearly with increasing velocity. The slope of this line is called the cost of transport of the animal, since it measures thee energy required to move a unit mass 1 unit of distance. Table 5.10 gives the weight W , I grams and the cost of transport C , in milliliters of oxygen per gram per kilometer, of seven animals. 42 TABLE 5 . 1 0 Weight and Cost of Transport Animal Weight W Cost of transport C White mouse 21 2.83 Kangaroo rat 41 2.01 Kangaroo rat To determine (b) To find: A formula that models C as a power function of W . To determine (c) To compare: The model in part b and the trend for cost of transport versus weight in the table and to check if the stereotype of penguins as awkward waddlers is true or not.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN: 9781337111348

Author: Bruce Crauder, Benny Evans, Alan Noell

Publisher: Cengage Learning

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Question

Chapter 5.3, Problem 17E

To determine

(a)

To find:

If the cost of transport generally increases or decreases and the exceptions of this trend.

To determine

(b)

To find:

A formula that models C as a power function of W.

To determine

(c)

To compare:

The model in part b and the trend for cost of transport versus weight in the table and to check if the stereotype of penguins as awkward waddlers is true or not.

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Chapter 5.3, Problem 16E

Chapter 5.3, Problem 18E

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Chapter 5 Solutions

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

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(a) To find: If the cost of transport generally increases or decreases and the exceptions of this trend.

Solution Summary: The author analyzes how the cost of transport decreases as the weight increases, and the exception is White rat.

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(a) To find: If the cost of transport generally increases or decreases and the exceptions of this trend.

(b) To find: A formula that models C as a power function of W.

(c) To compare: The model in part b and the trend for cost of transport versus weight in the table and to check if the stereotype of penguins as awkward waddlers is true or not.

Want to see the full answer?

Chapter 5 Solutions

(a)

To find:

If the cost of transport generally increases or decreases and the exceptions of this trend.

(b)

To find:

A formula that models C as a power function of W.

(c)

To compare:

The model in part b and the trend for cost of transport versus weight in the table and to check if the stereotype of penguins as awkward waddlers is true or not.