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

Answer 1

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 $k$:

$$k=1÷\frac{1}{2}=2$$

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.