You make a table to use as a quick reference guide.

Given the equation:
[tex]\[ y = -200 - 12(x) \][/tex]

[tex]\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-8 & -104 \\
\hline
-9 & \\
\hline
-10 & -92 \\
\hline
-11 & -80 \\
\hline
-12 & \\
\hline
\end{array}
\][/tex]

What is the [tex]\( y \)[/tex]-value when [tex]\( x \)[/tex] equals -11?

Enter the correct answer: [tex]\(\square\)[/tex]



Answer :

To fill in the missing [tex]\( y \)[/tex]-values in the table, we will focus on the values given and the [tex]\( y \)[/tex]-value when [tex]\( x = -11 \)[/tex].

Given the points in the table:

[tex]\[ \begin{array}{|c|c|} \hline x\text{-value} & y\text{-value} \\ \hline -8 & -104 \\ \hline -9 & \\ \hline -10 & -92 \\ \hline -11 & -80 \\ \hline -12 & \\ \hline \end{array} \][/tex]

We see that the [tex]\( y \)[/tex]-value when [tex]\( x = -11 \)[/tex] is [tex]\(-80\)[/tex].

Since we need to find the [tex]\( y \)[/tex]-value when [tex]\( x = -11 \)[/tex], according to the table:

The [tex]\( y \)[/tex]-value when [tex]\( x = -11 \)[/tex] is [tex]\(-80\)[/tex].

Thus, we can write:

[tex]\[ y = -80 \][/tex]

The answer is:
[tex]\[ -80 \][/tex]

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