To determine another point on the graph, we need to find a point that satisfies the direct proportionality relationship between the amount of water and the number of cups of rice.
We can do this by using the given information of the coordinate (1/2, 1), which means that when there is 1/2 unit of water, there is 1 cup of rice. We can then find the constant of proportionality by dividing the number of cups of rice by the amount of water. In this case, the constant of proportionality is 1/2.
We can use this constant to find the amount of water for the other options:
Option 1: (1/4, 2)
2 cups of rice / 1/4 unit of water = 8 cups of rice per unit of water. Since the constant of proportionality is 1/2, this point does not satisfy the direct proportionality.
Option 2: (3/2, 3)
3 cups of rice / 3/2 units of water = 2 cups of rice per unit of water. Since the constant of proportionality is 1/2, this point satisfies the direct proportionality.
Option 3: (2/3, 4)
4 cups of rice / 2/3 units of water = 6 cups of rice per unit of water. Since the constant of proportionality is 1/2, this point does not satisfy the direct proportionality.
Option 4: (2, 6)
6 cups of rice / 2 units of water = 3 cups of rice per unit of water. Since the constant of proportionality is 1/2, this point satisfies the direct proportionality.
Therefore, the other point that satisfies the direct proportionality relationship is (3/2, 3).
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.
(1/4, 2)
(3/2, 3)
(2/3, 4)
(2, 6)
1 answer