Question

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 point)

Answer 1

To find another point on the graph, we can use the proportionality between the amount of water and the number of cups of rice.

Since the amount of water is directly proportional to the number of cups of rice, we can write the proportionality as:

water/cups of rice = k

where k is the constant of proportionality.

We are given that the coordinate (1/2, 1) is on the graph, which means that at (1/2) cup of rice, there is 1 unit of water. Therefore, we can write the following equation using the proportionality:

1/2 / 1 = k

Simplifying the equation, we find that:

1/2 = k

So, the constant of proportionality is k = 1/2.

To find another point on the graph, we can choose any value for the number of cups of rice and use the proportionality to find the corresponding amount of water.

For example, if we let the number of cups of rice be 2, we can find the corresponding amount of water using the proportionality:

water/cups of rice = k

water/2 = 1/2 (since k = 1/2)

Multiplying both sides of the equation by 2, we get:

water = 1

Therefore, at 2 cups of rice, there is 1 unit of water.

So, another point on the graph is (2, 1).