a) Answer The distance at which Team C’s runner passes Team B’s runner is 40 m e t e r s . Explanation Given information : Team A’s runner running speed is 7.8 m / s . Team B’s runner running speed is 7.8 m / s . Team C’s runner running speed is 8.8 m / s . Calculation: From the graph, The distance at which Team C’s runner passes Team B’s runner is 40 m e t e r s . b) To determine To find: If the race was longer, Team C’s runner have passed Team A’s runner. Answer Yes, if the race was longer, Team C’s runner would have passed Team A’s runner. Explanation Given information : Team A’s runner running speed is 7.8 m / s . Team B’s runner running speed is 7.8 m / s . Team C’s runner running speed is 8.8 m / s . Calculation: From the graph, Since Team A and C have different slopes but they intersect at t > 0 . Hence, Team C’s runner would have passed Team A’s runner. c) To determine To find: If the race was longer, Team B’s runner have passed Team A’s runner. Answer No, if the race was longer, Team B’s runner could not have passed Team A’s runner. Explanation Given information : Team A’s runner running speed is 7.8 m / s . Team B’s runner running speed is 7.8 m / s . Team C’s runner running speed is 8.8 m / s . Calculation: From the graph, Since Team A and B have the same slopes but their intercepts are different. It means their slopes can’t intersect each other. Hence, Team B’s runner cannot pass Team A’s runner.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 5.4, Problem 30E

To determine

To find: The distance at which Team C’s runner passes Team B’s runner.

Expert Solution

Answer to Problem 30E

The distance at which Team C’s runner passes Team B’s runner is 40 meters .

Explanation of Solution

Given information: Team A’s runner running speed is 7.8 m/s .

Team B’s runner running speed is 7.8 m/s .

Team C’s runner running speed is 8.8 m/s .

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 5.4, Problem 30E , additional homework tip 1

Calculation: From the graph,

The distance at which Team C’s runner passes Team B’s runner is 40 meters .

To determine

To find: If the race was longer, Team C’s runner have passed Team A’s runner.

Expert Solution

Answer to Problem 30E

Yes, if the race was longer, Team C’s runner would have passed Team A’s runner.

Explanation of Solution

Given information: Team A’s runner running speed is 7.8 m/s .

Team B’s runner running speed is 7.8 m/s .

Team C’s runner running speed is 8.8 m/s .

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 5.4, Problem 30E , additional homework tip 2

Calculation: From the graph,

Since Team A and C have different slopes but they intersect at t>0 .

Hence, Team C’s runner would have passed Team A’s runner.

To determine

To find: If the race was longer, Team B’s runner have passed Team A’s runner.

Expert Solution

Answer to Problem 30E

No, if the race was longer, Team B’s runner could not have passed Team A’s runner.

Explanation of Solution

Given information: Team A’s runner running speed is 7.8 m/s .

Team B’s runner running speed is 7.8 m/s .

Team C’s runner running speed is 8.8 m/s .

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 5.4, Problem 30E , additional homework tip 3

Calculation: From the graph,

Since Team A and B have the same slopes but their intercepts are different. It means their slopes can’t intersect each other.

Hence, Team B’s runner cannot pass Team A’s runner.

Chapter 5.4, Problem 29E

Chapter 5.4, Problem 31E

Chapter 5 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E

Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Prob. 15E Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - 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