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)
Responses
(14, 2)
Left Parenthesis Start Fraction 1 over 4 End Fraction comma 2 Right Parenthesis
(2, 6)
Left Parenthesis 2 comma 6 Right Parenthesis
(32, 3)
Left Parenthesis Start Fraction 3 over 2 End Fraction comma 3 Right Parenthesis
(23, 4)
(2, 6). This point satisfies the proportional relationship because the amount of water is directly proportional to the number of cups of rice.
To find another point on the graph, we can use the given information that the amount of water is directly proportional to the number of cups of rice.
The given coordinate is (1/2, 1), which means that when there is 1/2 cup of rice, there is 1 cup of water.
Let's find another point using this relationship:
If we have 1 cup of rice, the amount of water will be directly proportional. So another point on the graph could be (1, 2). This means that when there is 1 cup of rice, there are 2 cups of water.
Therefore, the other point on the graph is (1, 2).
To find another point on the graph of this proportional relationship, let's use the given information that the amount of water is directly proportional to the number of cups of rice.
We know that the coordinate (1/2, 1) is on the graph. This means that when there are 1/2 cup of rice, there is 1 unit of water.
We can use this information to find another point on the graph by finding a different ratio of rice to water that satisfies the proportionality condition. Let's consider each option:
Option A: (14, 2)
This option does not satisfy the proportionality condition because 14 cups of rice to 2 units of water is not proportional to the given ratio of 1/2 cup of rice to 1 unit of water.
Option B: (1/4, 2)
This option satisfies the proportionality condition because when there are 1/4 cup of rice, there are 2 units of water. This is a valid point on the graph.
Option C: (2, 6)
This option does not satisfy the proportionality condition because 2 cups of rice to 6 units of water is not proportional to the given ratio of 1/2 cup of rice to 1 unit of water.
Option D: (32, 3)
This option does not satisfy the proportionality condition because 32 cups of rice to 3 units of water is not proportional to the given ratio of 1/2 cup of rice to 1 unit of water.
Therefore, the correct answer is option B: (1/4, 2).