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 :

To determine which statements apply to the ratio of rice and water, we need to identify the relationship between the two quantities.

When considering a cooking scenario, typically, the amount of water needed will vary depending on the amount of rice you are cooking. This implies that the amount of water is determined based on the amount of rice.

Here’s a step-by-step breakdown:

1. Understanding Dependence and Independence:
- The amount of water (in cups) required is determined by the amount of rice (in cups).
- This means the water amount depends on the rice amount, making the water the dependent value.

2. Identifying the Independent Value:
- The amount of rice is what you start with and decide upon to determine the necessary water. This makes the amount of rice the independent value.

3. Eliminate Possible Confusions:
- Since the water amount is dependent on the rice amount, it can’t be labeled as the independent value.
- Given the relationship provided in the table, it’s clear that we do not require an explicit equation to label these values as dependent or independent.

By this reasoning, the two correct statements are:

1. The amount of water is the dependent value.
2. The amount of rice is the independent value.

Thus, these statements accurately describe the ratio and relationship between the amount of rice and the amount of water.