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Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is already in the table.

\begin{tabular}{|c|c|}
\hline
[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline
6 & 6 \\
\hline
3 & 8 \\
\hline
9 & 12 \\
\hline
7 & 8 \\
\hline
& \\
\hline
\end{tabular}



Answer :

GinnyAnswer
To demonstrate the completion of the task, considered steps are as follows:

1. Identify the Existing Ordered Pairs:
- We start with a table containing the following ordered pairs:
[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline 6 & 6 \\ \hline 3 & 8 \\ \hline 9 & 12 \\ \hline 7 & 8 \\ \hline & \\ \hline \end{array} \][/tex]

2. Ensure No Repeated Ordered Pairs:
- The task requires us to add a new ordered pair such that it does not duplicate any of the existing pairs.

3. Choosing the New Ordered Pair:
- From the initial consideration, a suitable pair not present in the table can be chosen. Let's use [tex]\( (10, 15) \)[/tex].

4. Update the Table:
- Add the new pair [tex]\((10, 15)\)[/tex] to the table:
[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline 6 & 6 \\ \hline 3 & 8 \\ \hline 9 & 12 \\ \hline 7 & 8 \\ \hline 10 & 15 \\ \hline \end{array} \][/tex]

By following these steps, the table achieves the desired function without repeating any ordered pairs. Thus, the final table is:

[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline 6 & 6 \\ \hline 3 & 8 \\ \hline 9 & 12 \\ \hline 7 & 8 \\ \hline 10 & 15 \\ \hline \end{array} \][/tex]