Since the amount of water is directly proportional to the number of cups of rice, we can express this relationship using the equation \( y = kx \), where \( y \) is the amount of water, \( x \) is the number of cups of rice, and \( k \) is the constant of proportionality.
Given the point \( (1/2, 1) \), we can find the constant \( k \):
\[ y = kx \implies 1 = k \cdot \frac{1}{2} \implies k = 2 \]
Now we know the relationship is given by:
\[ y = 2x \]
To find another point on the graph, we can choose a value for \( x \) and calculate \( y \). For example, let’s take \( x = 2 \):
\[ y = 2(2) = 4 \]
This gives us the point \( (2, 4) \).
However, from the options provided, we should check which one matches this form:
- (2/3, 4): Calculate \( y = 2(2/3) = 4/3 \), not valid.
- (3/2, 3): Calculate \( y = 2(3/2) = 3 \), valid.
- (2, 6): Calculate \( y = 2(2) = 4 \), not valid.
- (1/4, 2): Calculate \( y = 2(1/4) = 1/2 \), not valid.
From the analysis, the point \( (3/2, 3) \) satisfies the proportional relationship as \( y = 2x \).
Thus, the correct response is:
(3/2, 3).