Answer :
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;
[tex]\begin{tabular}{|c|c|}x&y\\-8&22\\0&1\\8&22\\16&102\end{array}\right][/tex] [tex]\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&9\\8&2\end{array}\right][/tex] [tex]\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right][/tex] [tex]\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&5\\16&4\end{array}\right][/tex]
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;
[tex]\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right][/tex], which is the option x/y -8/-7 0/0 8/7 16/14
Learn more about linear functions here:
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Answer:
its C because its the only answer with increasing/decreasing in a constant rate.
Step-by-step explanation: