The amount of water is directly proportional to the number of cups of rice. The coordinate (4, 1) is on the graph of this proportional
relationship. Identify another point on the graph. (1 point)
0 (2/3, 4)
0 (3/2, 3)
0 (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 if a certain amount of water corresponds to 4 cups of rice (as given by the point (4, 1)), then we can find another point by maintaining the same ratio of water to rice.
Let's use the given point (4, 1). To find another point, we can maintain the same ratio by multiplying or dividing the values of water and rice by the same number.
For example, let's multiply both the water and rice values by 2. This would give us the point (4*2, 1*2) = (8, 2).
Therefore, O (8, 2) is another point on the graph.
To identify another point on the graph, we need to use the direct proportion relationship between the amount of water and the number of cups of rice.
We are given that the coordinate (4, 1) is on the graph. This means that when there are 4 cups of rice, there is 1 unit of water.
To find another point on the graph, we need to find a different number of cups of rice that corresponds to a certain amount of water. We can do this by setting up a proportion.
Since the relationship is direct, let's set up the proportion:
Cups of rice / Amount of water = Cups of rice / Amount of water
Using the information from the given coordinate (4, 1), we can write:
4 / 1 = Cups of rice / Amount of water
Now, let's find the value for Cups of rice when the Amount of water is a different value.
Let's consider the coordinate (2, 6) as another point. This means that when there are 2 cups of rice, there are 6 units of water.
So we have:
2 / 6 = Cups of rice / Amount of water
To find the value of Cups of rice, we cross-multiply:
2 * Amount of water = 6 * Cups of rice
Divide both sides by 6 to isolate Cups of rice:
Cups of rice = (2 * Amount of water) / 6
Now, let's substitute different values for the Amount of water to find the corresponding value for Cups of rice and identify the other point on the graph:
- If Amount of water = 2/3, then Cups of rice = (2 * 2/3) / 6 = 4/9.
So the coordinate (2/3, 4/9) is another point on the graph.
Therefore, the correct answer is: (2/3, 4).