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.
A. (2, 6)
B. (2/3, 4)
C. (1/4, 2)
D. (3/2, 3)
To determine another point on the graph, we need to find the constant of proportionality.
Using the given information, we know that when the amount of water (x) is 1/2, the number of cups of rice (y) is 1.
So, the constant of proportionality is: k = y/x = 1/2 = 0.5.
To find another point, we can choose any value for x, and then find y using the constant of proportionality.
Let's choose option D. When x = 3/2, we get:
y = k * x = 0.5 * (3/2) = 1.5.
Therefore, the point (3/2, 1.5) is another point on the graph.
Therefore, the answer is D. (3/2, 3).
To find another point on the graph, we can use the fact that the amount of water is directly proportional to the number of cups of rice. This means that if we double the number of cups of rice, we should also double the amount of water.
Let's consider the point (1/2, 1) on the graph. This means that when we have 1/2 cup of rice, we have 1 unit of water.
If we double the number of cups of rice, we would have 2 * (1/2) = 1 cup of rice. According to the proportional relationship, we should also double the amount of water, resulting in 2 units of water.
Therefore, the point that satisfies this condition is (1, 2).
Checking the answer choices:
A. (2, 6): This point does not satisfy the direct proportion since doubling the number of cups of rice does not result in doubling the amount of water.
B. (2/3, 4): This point does not satisfy the direct proportion since doubling the number of cups of rice does not result in doubling the amount of water.
C. (1/4, 2): This point does not satisfy the direct proportion since doubling the number of cups of rice does not result in doubling the amount of water.
D. (3/2, 3): This point does not satisfy the direct proportion since doubling the number of cups of rice does not result in doubling the amount of water.
Thus, the correct answer is (1, 2), which is not among the given answer choices.
To identify another point on the graph of the proportional relationship, we can use the concept of direct proportionality.
In direct proportion, as one quantity increases (in this case, the number of cups of rice), the other quantity (amount of water) also increases, following a specific ratio.
Given that the coordinate (1/2, 1) is on the graph, it means that when there is 1/2 cup of rice, there is 1 unit of water. This acts as a reference point.
To find another point, we need to find a quantity of rice that has a corresponding quantity of water in the same ratio as the reference point.
Let's analyze each of the answer choices:
A. (2, 6)
For 2 cups of rice, the corresponding amount of water would be 3 units based on the given ratio. However, since the reference ratio is 1:1/2, this choice is not valid.
B. (2/3, 4)
For 2/3 cup of rice, we can calculate the corresponding amount of water. Using the reference ratio, we find that the amount of water would be 2/3 * 2 = 4/3. This choice satisfies the given ratio.
C. (1/4, 2)
For 1/4 cup of rice, the corresponding amount of water would be 1/4 * 2 = 1/2. This choice also satisfies the given ratio.
D. (3/2, 3)
For 3/2 cups of rice, the corresponding amount of water would be 3/2 * 2 = 3. However, since the reference ratio is 1:1/2, this choice is not valid.
Therefore, the correct answer choices are B. (2/3, 4) and C. (1/4, 2), as they satisfy the given direct proportionality relationship.