Since the relationship between the amount of water and the number of cups of rice is directly proportional, we can use the coordinates given to determine the constant of proportionality.
The point (1/2, 1) means that for 1/2 cup of rice, there is 1 unit of water.
We can express the relationship as:
\[ w = k \cdot r, \]
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 (1/2, 1):
\[ 1 = k \cdot \frac{1}{2}. \]
Solving for \( k \):
\[ k = 1 \div \frac{1}{2} = 2. \]
Now we have the equation:
\[ w = 2r. \]
To find another point on the graph, we can choose a different value for \( r \). Let's choose \( r = 1 \):
\[ w = 2 \cdot 1 = 2. \]
Thus, another point on the graph is (1, 2).
You can choose other values for \( r \) to find more points, for instance, if \( r = 2 \), then:
\[ w = 2 \cdot 2 = 4, \]
yielding another point (2, 4).
So, two valid points on the graph are (1, 2) and (2, 4).
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