Certainly! Let's go through this problem step-by-step.
Given:
- On a television channel, there is 1 minute of commercials for every 5 minutes of television shows.
We need to determine the ordered pairs for the number of minutes of commercials and the number of minutes of television shows, up to 5 minutes of commercials.
1. First, we know that for 1 minute of commercials, there are 5 minutes of TV shows.
[tex]\[
\text{Ordered Pair: } (1, 5)
\][/tex]
2. For 2 minutes of commercials, the number of minutes of TV shows would be [tex]\(2 \times 5 = 10\)[/tex].
[tex]\[
\text{Ordered Pair: } (2, 10)
\][/tex]
3. For 3 minutes of commercials, the number of minutes of TV shows would be [tex]\(3 \times 5 = 15\)[/tex].
[tex]\[
\text{Ordered Pair: } (3, 15)
\][/tex]
4. For 4 minutes of commercials, the number of minutes of TV shows would be [tex]\(4 \times 5 = 20\)[/tex].
[tex]\[
\text{Ordered Pair: } (4, 20)
\][/tex]
5. For 5 minutes of commercials, the number of minutes of TV shows would be [tex]\(5 \times 5 = 25\)[/tex].
[tex]\[
\text{Ordered Pair: } (5, 25)
\][/tex]
Now we can fill in the table with the ordered pairs.
[tex]\[
\begin{tabular}{c|c|c}
\begin{tabular}{c}
Number of Minutes of \\
Commercials
\end{tabular} & \begin{tabular}{c}
Number of Minutes of \\
Television Shows
\end{tabular} & Ordered Pair \\
\hline 1 & 5 & (1, 5) \\
\hline 2 & 10 & (2, 10) \\
\hline 3 & 15 & (3, 15) \\
\hline 4 & 20 & (4, 20) \\
\hline 5 & 25 & (5, 25) \\
\hline
\end{tabular}
\][/tex]
