The amount of water is directly proportional to the number of cups of rice. The coordinate (12, 1) is on the graph of this proportional relationship. Identify another point on the graph.(1 point)
Responses
A (1/4, 2)
Left Parenthesis Start Fraction 1 over 4 End Fraction comma 2 Right Parenthesis
B (3/2, 3)
Left Parenthesis Start Fraction 3 over 2 End Fraction comma 3 Right Parenthesis
C (2, 6)
Left Parenthesis 2 comma 6 Right Parenthesis
D (2/3, 4)
The correct answer is D (2/3, 4).
To identify another point on the graph, we can use the fact that the relationship is directly proportional. We know that the coordinate (12, 1) is on the graph, which means that when there are 12 cups of rice, there is 1 unit of water.
To find another point, we can use the same ratio. Let's say that we have 6 cups of rice. Using the same ratio, we can calculate the corresponding amount of water as follows:
12 cups of rice = 1 unit of water
6 cups of rice = (6/12) * 1 = 1/2 unit of water
Therefore, another point on the graph would be (6, 1/2).
So, the correct answer is A: (1/4, 2).
To identify another point on the graph of the proportional relationship, we need to consider the given information that the amount of water is directly proportional to the number of cups of rice. This means that for every increase or decrease in the number of cups of rice, there will be a corresponding increase or decrease in the amount of water.
Given the coordinate (12, 1) which represents 12 cups of rice and 1 unit of water, we can use this ratio to find another point on the graph.
Let's take option A: (1/4, 2)
This means that for 1/4 cups of rice, there are 2 units of water. However, this does not align with the given information that the higher the number of cups of rice, the higher the amount of water. Therefore, option A is not correct.
Option B: (3/2, 3)
For 3/2 cups of rice, there are 3 units of water. This ratio does not align with the given information. Therefore, option B is not correct.
Option C: (2, 6)
This means that for 2 cups of rice, there are 6 units of water. This ratio is in line with the given information, as the ratio of cups of rice to units of water remains the same as the given coordinate (12, 1). Hence, option C is correct.
Option D: (2/3, 4)
For 2/3 cups of rice, there are 4 units of water. Again, this ratio does not align with the given information. Therefore, option D is not correct.
Therefore, the correct answer is option C: (2, 6), representing 2 cups of rice and 6 units of water.