To find the ratio of book price to the number of pages for each ordered pair, follow these steps:
1. Identify the price and number of pages for each book:
- For 100 pages: [tex]$5.00
- For 400 pages: $[/tex]20.00
- For 125 pages: [tex]$6.25
- For 350 pages: $[/tex]15.00
2. Calculate the ratio of book price to the number of pages for each pair:
- For 400 pages and [tex]$20.00:
\( a = \frac{20.00}{400} = 0.05 \)
- For 125 pages and $[/tex]6.25:
[tex]\( b = \frac{6.25}{125} = 0.05 \)[/tex]
- For 350 pages and [tex]$15.00:
\( c = \frac{15.00}{350} = 0.04 \)
3. Round the answers to the nearest hundredth (if needed):
- \( a = 0.05 \)
- \( b = 0.05 \)
- \( c = 0.04 \)
4. Fill in the calculated values in the table:
\[
\begin{tabular}{|r|r|r|}
\hline \begin{tabular}{c}
$[/tex]x[tex]$ \\
Number \\
of Pages
\end{tabular} & \begin{tabular}{c}
$[/tex]y[tex]$ \\
Price of \\
Book (\$[/tex])
\end{tabular} & \begin{tabular}{c}
Ratio of \\
[tex]$y : x$[/tex]
\end{tabular} \\
\hline 100 & 5.00 & 0.05 \\
\hline 400 & 20.00 & 0.05 \\
\hline 125 & 6.25 & 0.05 \\
\hline 350 & 15.00 & 0.04 \\
\hline
\end{tabular}
\]
Thus, the calculated ratios are:
[tex]\( a = 0.05 \)[/tex], [tex]\( b = 0.05 \)[/tex], and [tex]\( c = 0.04 \)[/tex].
