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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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