The amount of water is directly proportional to number of cups and rice cornet (1/2,1) is on the graph of this proportional relationship. I 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 this relationship mathematically as:

\[ W = k \cdot C \]

where:

  • \( W \) is the amount of water,
  • \( C \) is the number of cups of rice, and
  • \( k \) is the constant of proportionality.

Given the point (1/2, 1) on the graph, we can interpret this as follows:

  • At \( C = \frac{1}{2} \) cups of rice, \( W = 1 \) unit of water.

We can use this point to find the constant \( k \):

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

Now we know the relationship can be expressed as:

\[ W = 2C \]

To identify another point, we can choose another value for \( C \) and calculate the corresponding \( W \). For example, let’s choose \( C = 2 \) cups of rice:

\[ W = 2 \cdot 2 = 4 \]

Thus, another point on the graph is \( (2, 4) \). You can choose any non-negative value for \( C \) to find additional points, and they will all satisfy the equation \( W = 2C \).