Since the amount of water is directly proportional to the number of cups of rice, we can express this relationship as:
\[ W = kR \]
where \( W \) is the amount of water, \( R \) is the number of cups of rice, and \( k \) is a constant of proportionality.
From the given point (12, 1), we see that when \( R = 12 \), \( W = 1 \). We can determine \( k \) as follows:
\[ k = \frac{W}{R} = \frac{1}{12} \]
So the relationship can be expressed as:
\[ W = \frac{1}{12}R \]
Now we can check which of the response options satisfy this equation.
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For \( (2, 6) \): \[ W = \frac{1}{12} \times 2 = \frac{2}{12} = \frac{1}{6} \] (not equal to 6)
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For \( (1/4, 2) \): \[ W = \frac{1}{12} \times \left(\frac{1}{4}\right) = \frac{1}{48} \] (not equal to 2)
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For \( (3/2, 3) \): \[ W = \frac{1}{12} \times \left(\frac{3}{2}\right) = \frac{3}{24} = \frac{1}{8} \] (not equal to 3)
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For \( (2/3, 4) \): \[ W = \frac{1}{12} \times \left(\frac{2}{3}\right) = \frac{2}{36} = \frac{1}{18} \] (not equal to 4)
None of these options results in a correct proportional relationship.
However, we can find a valid point using the established relationship \( W = \frac{1}{12}R \).
If we take \( R = 6 \): \[ W = \frac{1}{12} \times 6 = \frac{6}{12} = \frac{1}{2} \]
So the point (6, 0.5) is another point on the graph.
Given the provided options are invalid under the established relationship, if the requirement still stands, please review.