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 values are dependent and which are independent, let's examine the relationship between the amount of rice and the amount of water required. In this context, we need to understand how one quantity affects the other.

1. Dependent Value: This is the value that changes in response to another value.
2. Independent Value: This is the value that influences the change in the dependent value.

Let's analyze the given information:

- When considering cooking rice, the amount of water used usually depends on the amount of rice. This means the amount of water required will change based on how much rice is being cooked.

### Steps to Identify Dependent and Independent Values

1. Identify the cause and effect relationship:
- The amount of rice determines how much water is needed. Here, the rice is the 'cause' and the water required is the 'effect.'

2. Determine the independent value:
- The independent value (the cause) is the amount of rice because it influences the amount of water needed.

3. Determine the dependent value:
- The dependent value (the effect) is the amount of water required because it changes in response to the amount of rice being used.

### Conclusion

Based on this analysis:

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

So, the applicable statements are:

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