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The table shows the number of cups of water required when cooking different amounts of rice.

\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Amount of \\
Rice \\
(cups)
\end{tabular} & \begin{tabular}{c}
Amount of \\
Water \\
(cups)
\end{tabular} \\
\hline
2 & 5 \\
\hline
3 & 7.5 \\
\hline
5 & 12.5 \\
\hline
8 & 20 \\
\hline
\end{tabular}

Which statements apply to the ratio of rice and water? Choose two options.

A. The amount of rice is the dependent value.
B. The amount of water is the dependent value.
C. The amount of rice is the independent value.
D. The amount of water is the independent value.
E. The values cannot be labeled as dependent or independent without a given equation.



Answer :

GinnyAnswer
To determine the correct statements about the relationship between the amount of rice and water, let's analyze the table showing the cups of water required for different amounts of rice:

\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Amount of \\
Rice \\
(cups)
\end{tabular} & \begin{tabular}{c}
Amount of \\
Water \\
(cups)
\end{tabular} \\
\hline 2 & 5 \\
\hline 3 & 7.5 \\
\hline 5 & 12.5 \\
\hline 8 & 20 \\
\hline
\end{tabular}

From the table, we observe the following points:

1. As the amount of rice (independent variable) increases, the amount of water required (dependent variable) also increases.
2. The amount of water depends on how much rice is being cooked.

We can now identify the correct statements:

1. The amount of rice is what we change or control. Therefore, it is the independent value.
2. The amount of water changes in response to the amount of rice. Therefore, it is the dependent value.

Hence, the correct statements are:

- The amount of water is the dependent value.
- The amount of rice is the independent value.

Therefore, the two correct statements are:
2. The amount of water is the dependent value.
3. The amount of rice is the independent value.

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