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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 3.4, Problem 34E

To determine

To interpret: the intercepts.

Expert Solution

Answer to Problem 34E

The x -intercept shows that all the 90 students do not choose the meal plan and there is no student who chose the meal plan.

The y -intercept shows that there is no student who does not choose the meal plan and all 60 students do choose the meal plan.

Explanation of Solution

Given:

The total cost for the class to go on the trip is modeled by the equation 30x+45y=2700 where x is the number of students who do not choose the meal plan and y is the number of students who do choose the meal plan.

The graph of this equation is:

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 3.4, Problem 34E , additional homework tip 1

The x -intercept is the point where the given graph intersects the x -axis.

And the y -intercept is the point where the given graph intersects the y -axis

Thus, the x -intercept is (90,0) .

Thus, the y -intercept is (0,60) .

Here, the x -intercept shows that all the 90 students do not choose the meal plan and there is no student who chose the meal plan.

The y -intercept shows that there is no student who does not choose the meal plan and all 60 students do choose the meal plan.

To determine

To describe: the domain and range in context of the problem.

Expert Solution

Explanation of Solution

Given:

The graph of this equation is:

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 3.4, Problem 34E , additional homework tip 2

The variable for the given equation represents the number of students which is always a positive integer, so the domain of the given equation is discrete.

Here, the domain and range are dependent on each other as number of students can’t be a decimal number. So, the variables x and y which are positive integers and for which (x,y) lies on the above graph belongs to the domain and range of the equation respectively.

Chapter 3.4, Problem 33E

Chapter 3.4, Problem 35E

Chapter 3 Solutions

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

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - 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