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)
O (2/3, 4)
O (3/2, 3)
O (1/4, 2)
O (2, 6)
To find another point on the graph, we can use the fact that the relationship is directly proportional. This means that the ratio of water to cups of rice will remain constant.
We are given the point (1/2, 1), which means that there is 1 cup of rice for every 1/2 unit of water.
To find another point, we need to find a different ratio of water to cups of rice that is the same as 1/2.
Looking at the answer choices, we can see that only (2/3, 4) has a ratio of 2/3, which is the same as 1/2. This means that for 2/3 unit of water, there are 4 cups of rice. Thus, the point (2/3, 4) is on the graph of this proportional relationship.
To find another point on the graph of the proportional relationship between the amount of water and the number of cups of rice, we can use the given information.
The relationship states that the amount of water is directly proportional to the number of cups of rice. This means that the ratio between the amount of water and the number of cups of rice stays constant.
We are given one point on the graph, which is (1/2, 1). This means that when there is 1/2 cup of water, there is 1 cup of rice.
To find another point on the graph, we need to maintain the same ratio between the amount of water and the number of cups of rice as the given point.
Let's consider the answer choices:
- (2/3, 4): This point does not maintain the same ratio as the given point, so it is not on the graph.
- (3/2, 3): This point does not maintain the same ratio as the given point, so it is not on the graph.
- (1/4, 2): This point does not maintain the same ratio as the given point, so it is not on the graph.
- (2, 6): This point maintains the same ratio as the given point. If we double the amount of water to 1 cup, we also need to double the number of cups of rice to maintain the proportionality. So, (2, 6) is another point on the graph.
Therefore, the correct answer is (2, 6).