Answered

Select "Proportional" or "Not Proportional" to correctly classify the pair of ratios.

[tex]\[
\begin{tabular}{|l|c|c|}
\hline & \text{Proportional} & \text{Not Proportional} \\
\hline \frac{0.08}{0.2} \text{ and } \frac{0.2}{0.8} & \text{ } & \bigcirc \\
\hline
\end{tabular}
\][/tex]



Answer :

Alright, let's determine whether the given ratios are proportional.

1. Calculate the first ratio:
[tex]\[ \frac{0.08}{0.2} = 0.4 \][/tex]

2. Calculate the second ratio:
[tex]\[ \frac{0.2}{0.8} = 0.25 \][/tex]

3. Compare the two ratios:

We have:
[tex]\[ 0.4 \quad \text{and} \quad 0.25 \][/tex]

4. Determine if the ratios are equal:

Clearly,
[tex]\[ 0.4 \neq 0.25 \][/tex]

Since the two ratios are not equal, the ratios \(\frac{0.08}{0.2}\) and \(\frac{0.2}{0.8}\) are Not Proportional.

Thus, in the table:
[tex]\[ \begin{tabular}{|l|c|c|} \hline & Proportional & Not Proportional \\ \hline [tex]$\frac{0.08}{0.2}$[/tex] and [tex]$\frac{0.2}{0.8}$[/tex] & 0 & \bigcirc \\
\hline
\end{tabular}
\][/tex]

The ratios are correctly classified under "Not Proportional."