Since the amount of water is directly proportional to the number of cups of rice, we can express this relationship with the equation:
\[ W = kR \]
where \( W \) is the amount of water, \( R \) is the number of cups of rice, and \( k \) is the constant of proportionality.
From the point (12, 1), we can find \( k \):
\[ 1 = k \cdot 12 \]
Solving for \( k \):
\[ k = \frac{1}{12} \]
Now, using this constant \( k \), we can find other points on the graph. For any value of \( R \), we can calculate \( W \) using:
\[ W = \frac{1}{12}R \]
Let's check each of the provided options to see which one maintains the proportionality:
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For (14, 2): \[ W = \frac{1}{12} \cdot 14 = \frac{14}{12} = \frac{7}{6} \] (not equal to 2)
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For (23, 4): \[ W = \frac{1}{12} \cdot 23 = \frac{23}{12} \] (not equal to 4)
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For (32, 3): \[ W = \frac{1}{12} \cdot 32 = \frac{32}{12} = \frac{8}{3} \] (not equal to 3)
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For (2, 6): \[ W = \frac{1}{12} \cdot 2 = \frac{2}{12} = \frac{1}{6} \] (not equal to 6)
None of the provided alternatives appear to provide a valid point for \( W \) in accordance with the given proportional relationship.
For additional context, you can find another valid point using the derived formula. If you try \( R = 6 \):
\[ W = \frac{1}{12} \cdot 6 = \frac{1}{2} \]
thus (6, 0.5) would be a valid point. However, assuming you need the options you provided, none of these options are correct. Consider checking the problem or recalculating possible responses for further confirmation.