If the amount of water is directly proportional to the number of cups of rice, we can express this relationship with the equation:
\[ w = k \cdot r \]
where \( w \) is the amount of water, \( r \) is the number of cups of rice, and \( k \) is the constant of proportionality.
Given the point \( (1/2, 1) \), this means when \( \frac{1}{2} \) cups of rice are used, \( 1 \) unit of water is needed.
To find the constant of proportionality \( k \):
\[ 1 = k \cdot \frac{1}{2} \] \[ k = 2 \]
Now, the equation of the proportional relationship becomes:
\[ w = 2r \]
To identify another point on the graph, we can choose another value for \( r \) and calculate \( w \). Let's try \( r = 1 \) cup of rice:
\[ w = 2 \cdot 1 = 2 \]
So, when you have \( 1 \) cup of rice, you need \( 2 \) units of water. The new point on the graph is \( (1, 2) \).
You can choose other values for \( r \) (like \( 2 \), \( 3 \), etc.) to find more points on the graph. For example:
If \( r = 2 \):
\[ w = 2 \cdot 2 = 4 \]
This gives the point \( (2, 4) \).
In summary, another point on the graph is \( (1, 2) \), and \( (2, 4) \) is another option.