Question

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.

Answer 1

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 \( W = 2C \).