The function represented by the table is given by the rate of change of
the <em>x</em> and y-values which are constant indicating a linear function.
Response:
The statement that could be used to justify that the table represents a linear function is as following;
- The y-values decrease by the same amount
<h3>How to determine if a table represents a linear function?</h3>
The table of of a linear function is one in which the first difference in
the y-values is constant given that the difference in the x-values are also
constant.
From the table, the first difference between each y-value and the
previous y-value is found as follows;
20 - 35 = -15
5 - 20 = -15
-10 - 5 = -15
While the difference between the corresponding x-values = 1 as follows;
0 - (-1) = 1
1 - 0 = 1
2 - 1 = 1
Therefore;
The (rate of) change in the <em>x</em> and <em>y</em> -values in the table are constant, and
the function is a linear function.
The correct statement is therefore;
- The y-values decrease by the same amount
Learn more about linear function here:
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