Since the amount of water is directly proportional to the number of cups of rice, we can establish the relationship with the formula:
\[ y = kx \]
where \( y \) represents the amount of water, \( x \) represents the number of cups of rice, and \( k \) is the constant of proportionality.
From the given point (12, 1), we can find \( k \):
\[ 1 = k \cdot 12 \] \[ k = \frac{1}{12} \]
Now, using this constant \( k \), we can determine another point on the graph.
We know that for any number of cups of rice \( x \), the amount of water \( y \) can be calculated as:
\[ y = \frac{1}{12} x \]
Let's test each of the provided answer choices to see which one satisfies this equation.
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(14, 2): \[ y = \frac{1}{12} \cdot 14 = \frac{14}{12} \approx 1.17 \] (not equal to 2)
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(23, 4): \[ y = \frac{1}{12} \cdot 23 = \frac{23}{12} \approx 1.92 \] (not equal to 4)
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(32, 3): \[ y = \frac{1}{12} \cdot 32 = \frac{32}{12} \approx 2.67 \] (not equal to 3)
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(2, 6): \[ y = \frac{1}{12} \cdot 2 = \frac{2}{12} = \frac{1}{6} \] (not equal to 6)
None of the answer choices provided seem to be correct based on the calculations. Let’s also verify if any can potentially be derived from the original relationship. Since the correct relation is \( y = \frac{1}{12}x \), let’s find another point based on a simple value for \( x \). For example:
If \( x = 24 \): \[ y = \frac{1}{12} \cdot 24 = 2 \]
So the point (24, 2) would also be valid, but it is not present among the answer choices.
Since none of the points provided are correct based on our calculations, we may clarify that:
The proportional relationship remains established, and we can say that another point based on the ratio of the original is (24, 2) but among the given choices, none satisfy the criteria derived from (12, 1). If you're looking for a choice, please double-check the options for accuracy against the relationship we have calculated.