Whether the equation for area of square represents linear or non-linear function
Answer to Problem 35STP
The equation for the area of square represents a non-linear function.
Explanation of Solution
The equation for area of square is
Linear Functions: The graph of linear functions is always a straight line. These functions have the form
The equation of the area of square is not in the form
Also, the table for the values of ‘s’ and corresponding values of ‘A’ can be drawn as:
‘s’ (Side) | ‘A’ (Area) |
1 | 1 |
2 | 4 |
3 | 9 |
4 | 16 |
5 | 25 |
6 | 36 |
7 | 49 |
The slope of the linear function always remains constant. The slope of the data in above table is given by:
From the given table,
As m1 is not equal to m2 is not equal to m3, the slope is not constant, hence, the data represents a non-linear function.
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