Concept explainers
a.
Explain how the variable y changes.
a.
Answer to Problem 41PPE
The value of y doubles.
Explanation of Solution
Given information:
y varies directly with x. The value of x is doubled.
Concept Used:
- Mathematically relationship between two variables that can be expressed by an equation in which one variable is equal to constant times the other variable is called direct variation.
- Mathematically relationship between two variables that can be expressed by an equation in which the product of two variables is constant is called inverse variation.
Calculation:
According to question y varies directly with x.
The value of x is doubled
So the value of y is also doubled.
b.
Explain how the variable y changes.
b.
Answer to Problem 41PPE
The value of y becomes half.
Explanation of Solution
Given:
y varies inversely with x. The value of x is doubled.
Concept Used:
- Mathematically relationship between two variables that can be expressed by an equation in which one variable is equal to constant times the other variable is called direct variation.
- Mathematically relationship between two variables that can be expressed by an equation in which the product of two variables is constant is called inverse variation.
Calculation:
According to question y varies inversely with x.
The value of x is doubled
So the value of y is halfed.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
Introductory and Intermediate Algebra for College Students (5th Edition)
Algebra and Trigonometry
Elementary Algebra
Elementary and Intermediate Algebra
College Algebra (7th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education