The amount of water is directly proportional to the number of cups of rice. The coordinate (1/2, 1) is on the graph of this proportional relationship. Identify another point on the graph

1 answer

Since the amount of water is directly proportional to the number of cups of rice, 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 proportionality constant.

The coordinate \((\frac{1}{2}, 1)\) indicates that for \(\frac{1}{2}\) cup of rice, we need \(1\) unit of water. We can use this point to find the proportionality constant \( k \):

\[ 1 = k \cdot \frac{1}{2} \]

To solve for \( k \):

\[ k = 1 \div \frac{1}{2} = 2 \]

Now we have the equation of the proportional relationship:

\[ W = 2R \]

To find another point on the graph, we can choose any value for \( R \) and calculate \( W \).

Let's choose \( R = 1 \) (1 cup of rice):

\[ W = 2 \cdot 1 = 2 \]

So another point on the graph is \((1, 2)\), which corresponds to 1 cup of rice needing 2 units of water.