Question

Which table of ordered pairs represents a linear function? x y −8 22 0 1 8 22 16 102 x y −8 −7 0 1 8 9 8 2 x y −8 −7 0 0 8 7 16 14 x y −8 −7 0 1 8 5 16 4.

Answer 1

The linear function is a function that has a straight line when plotted on a

graph.

The correct option;

• The table of ordered pairs that represent a linear function is the option; x/y  -8/-7  0/0  8/7  16/14

Reasons why the above selection is correct:

Given;

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

Representation of the options in tabular form;

In a tabular form, we have;

$\begin{tabular}{|c|c|}x&y\\-8&22\\0&1\\8&22\\16&102\end{array}\right]$  $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&9\\8&2\end{array}\right]$  $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]$  $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&5\\16&4\end{array}\right]$

Characteristic of linear function;

In a linear function, when the x-values have a constant rate of increase the

first difference in the y-values is constant.

Selection of the table representing a linear function;

The option that have constant first difference along with a constant rate of

increase in the x-value is the option with the following table;

$\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]$, which is the option x/y -8/-7 0/0 8/7 16/14

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