Concept explainers
Whether the given situation represents linear or non-linear function
Answer to Problem 25PPS
The situation represents a linear function
Explanation of Solution
Given:
Number of inches increases by 1, the number of centimeters increases by 2.54
Calculation:
The table for the given situation can be made as follows:
Here, ‘x’ denotes ‘Inches’ and ‘y’ denotes ‘Centimeter’
x | y |
1 | 2.54 |
2 | 5.08 |
3 | 7.62 |
4 | 10.16 |
5 | 12.7 |
6 | 15.24 |
Linear Functions: The graph of linear functions is always a straight line. These functions have the form
The slope of the linear graph always remains constant. The slope of the equation is given by:
From the given table, we can see that slope of the given data always remains constant i.e. 2.54
Hence, the given data represents alinear function.
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