Concept explainers
a.
To calculate whether the given equation is proportional or non-proportional
a.
Answer to Problem 3.8STP
The given equation is not proportional.
Explanation of Solution
Given information:
The given equation is,
Formula Used:
The graph of a proportional equation passes through the origin (0,0) of the graph.
Graph:
Calculation:
Graphing the equation.
Concluding from the graph formed, the line of the equation doesn’t pass through the origin of the graph, therefore, the given equation is not a proportional.
Conclusion:The given equation is not proportional.
b.
To calculate whether the given equation is proportional or non-proportional
b.
Answer to Problem 3.8STP
The given data is proportional.
Explanation of Solution
Given information:
The given table is,
X | y |
3 | 1.5 |
7 | 3.5 |
22 | 11 |
Concept Used:
A proportional data has the ratios are equivalent.
Calculation:
To find out ratios of x1 and y1 ,
On solving, the ratio is,
To find our ratio of x3 and y3 ,
On solving, the ratio is
Comparing (1) and (2),
Since, the ratios are equal. Therefore, the given data is proportional.
Conclusion:
The given data is proportional.
c.
To calculate whether the given equation is proportional or non-proportional
c.
Answer to Problem 3.8STP
The given description is proportional.
Explanation of Solution
Given information:
J earns $9.50 per hour
Concept Used:
The graph of a proportional equation passes through the origin (0,0) of the graph.
Graph:
Calculation:
Let, number of hours J works be “x”
Therefore, the function to represent his earnings is,
Concluding from the graph drawn, the function line of the given data passes through the origin. Therefore, the given description is proportional.
Conclusion:
The given description is proportional.
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
College Algebra with Modeling & Visualization (5th Edition)
Introductory Statistics
Elementary Statistics: Picturing the World (7th Edition)
University Calculus: Early Transcendentals (4th 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