(a) Answer The system if linear inequalities is x ≤ 15 , y ≤ 10 and x + y ≤ 20 . Explanation Given information: Gaming laws allow to catch no more than 15 surface per day, no more than 10 rockfish per day, and no more than 20 total bottom fish per day. Given figure Calculation: Let x be the number of surface and y be the number of rockfish. Then the system of inequalities that models the given problem is x ≤ 15 y ≤ 10 x + y ≤ 20 Therefore, the system if linear inequalities is x ≤ 15 , y ≤ 10 and x + y ≤ 20 . Graph the inequalities x ≤ 15 , y ≤ 10 and x + y ≤ 20 as shown below figure. Therefore, the graph of system of linear inequalities is drawn. (b) To determine To find: whether can catch 11 surfperch and 9 rockfish in 1 day. Answer The answer is Yes. Explanation Given information: Gaming laws allow to catch no more than 15 surface per day, no more than 10 rockfish per day, and no more than 20 total bottom fish per day. Given figure Calculation: The ordered pair ( x , y ) = ( 11 , 9 ) is in the solution set. It means 11 surfperch and 9 rockfish can be caught per day. Therefore, the answer is Yes.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN: 9781680331141

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 5.7, Problem 31E

(a)

To determine

To write: and sketch a graph of linear inequalities that represents the situation.

(a)

Expert Solution

Answer to Problem 31E

The system if linear inequalities is x≤15,y≤10 and x+y≤20 .

Explanation of Solution

Given information:

Gaming laws allow to catch no more than 15 surface per day, no more than 10 rockfish per day, and no more than 20 total bottom fish per day.

Given figure

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 5.7, Problem 31E , additional homework tip 1

Calculation:

Let x be the number of surface and y be the number of rockfish. Then the system of inequalities that models the given problem is

x≤15y≤10x+y≤20

Therefore, the system if linear inequalities is x≤15,y≤10 and x+y≤20 .

Graph the inequalities x≤15,y≤10 and x+y≤20 as shown below figure.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 5.7, Problem 31E , additional homework tip 2

Therefore, the graph of system of linear inequalities is drawn.

(b)

To determine

To find: whether can catch 11 surfperch and 9 rockfish in 1 day.

(b)

Expert Solution

Answer to Problem 31E

The answer is Yes.

Explanation of Solution

Given information:

Gaming laws allow to catch no more than 15 surface per day, no more than 10 rockfish per day, and no more than 20 total bottom fish per day.

Given figure

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 5.7, Problem 31E , additional homework tip 3

Calculation:

The ordered pair (x,y)=(11,9) is in the solution set. It means 11 surfperch and 9 rockfish can be caught per day.

Therefore, the answer is Yes.

Chapter 5.7, Problem 30E

Chapter 5.7, Problem 32E

Chapter 5 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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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