(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 Algebra 1: Common Core Student Edition 2015

1st Edition

ISBN: 9781608408382

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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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 Algebra 1: Common Core 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 Algebra 1: Common Core 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 Algebra 1: Common Core 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 Algebra 1: Common Core 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

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