BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

1st Edition

ISBN: 9781608408382

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 2.4, Problem 14Q

To determine

To write: and graph three inequalities that represent the given requirements.

Expert Solution

Answer to Problem 14Q

$x≥100$

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 14Q , additional homework tip 1

$y≥5$

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 14Q , additional homework tip 2

$z≥10$

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 14Q , additional homework tip 3

Explanation of Solution

Given:

The elevation of low-elevation forest zone is above 1700 feet to 2500 feet.

Let x be the distance (in yards) that one can swim.

First requirement is to be able to swim at least 100 yards. This can be represented as the inequality:

$x≥100$

The graph of this inequality is:

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 14Q , additional homework tip 4

Let y be the time (in minutes) one can tread water.

Second requirement is, to be able to tread water for at least 5 minutes. This can be represented as the inequality:

$y≥5$

The graph of this inequality is:

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 14Q , additional homework tip 5

Let z be the length (in yards) one can swim under water without taking a breath.

Third requirement is, to be able to swim 10 yards or more under water without taking a breath. This can be represented as the inequality:

$z≥10$

The graph of this inequality is:

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 14Q , additional homework tip 6

To determine

is the person who can swim 250 feet, tread water for 6 minutes and swim 35 under water without taking a breath satisfy the requirements of the course.

Expert Solution

Answer to Problem 14Q

Explanation of Solution

Given:

Three requirements of the course are:

First requirement is to be able to swim at least 100 yards.

Second requirement is, to be able to tread water for at least 5 minutes.

Third requirement is, to be able to swim 10 yards or more under water without taking a breath.

The requirements are given in yards, so first step is to convert the given data which is in feet to yards.

$250 feet=250×13 yard≈83.3 yard$

$35 feet=35×13 yard≈11.7 yard$

All the three requirements must be fulfilled to satisfy the requirements of the course but here it can be observed that the first requirement is not fulfilled which is to be able to swim at least 100 yards.

Hence, not satisfy the requirements of the course.

Chapter 2.4, Problem 13Q

Chapter 2.4, Problem 15Q

Chapter 2 Solutions

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.1 - Prob. 53E Ch. 2.1 - Prob. 54E Ch. 2.1 - Prob. 55E Ch. 2.1 - Prob. 56E Ch. 2.1 - Prob. 57E Ch. 2.1 - Prob. 58E Ch. 2.1 - Prob. 59E Ch. 2.1 - Prob. 60E Ch. 2.1 - 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