To complete the given table and see which tabular relation shows a linear relationship.
Answer to Problem 59HP
The table referring to perimeter of the square will show a linear relation.
Explanation of Solution
Table 1:
Perimeter of a square | |
Side Length | Perimeter |
1 | 4 |
2 | 8 |
3 | 12 |
4 | 16 |
To see if the table shows linear relationship, plot the points on coordinate axis and join them to see if a straight line is formed or not
Graph 1:
The graph obtained is a straight line which means the perimeter table shows a linear relationship.
Table 2:
Area of a square | |
Side Length | Area |
1 | 1 |
2 | 4 |
3 | 9 |
4 | 16 |
To see if the table shows linear relationship, plot the points on coordinate axis and join them to see if a straight line is formed or not
Graph 2:
All the points when joined don’t form a single straight line. Hence, the area table does not show linear relationship.
Table 3:
Volume of a Cube | |
Side Length | Area |
1 | 1 |
2 | 8 |
3 | 27 |
4 | 64 |
To see if the table shows linear relationship, plot the points on coordinate axis and join them to see if a straight line is formed or not
Graph 3:
It is visible that the points don’t form a single straight line, which means that, the volume table will also not show linear relationship.
Conclusion:
Hence, only the Perimeter table will show the linear relationship.
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Thinking Mathematically (6th Edition)
A First Course in Probability (10th Edition)
Elementary Statistics: Picturing the World (7th Edition)
College Algebra with Modeling & Visualization (5th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th 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