The amount of water is directly proportional to the number of cups of rice. The coordinate (1 over 2, 1) is on the graph of this proportional relationship. Identify another point on the graph.
option:
(2,6)
(3 over 2, 3)
(1 over 4, 2)
(2 over 3, 4)
To find another point on the graph of this proportional relationship, we can use the given information that the amount of water is directly proportional to the number of cups of rice.
We are given the coordinate (1/2, 1) on the graph. The ratio between the amount of water and the number of cups of rice is constant. Since (1/2, 1) is on the graph, it means that when there are 1/2 cups of water, there is 1 cup of rice.
Using this ratio, we can find another point on the graph:
For the first option, (2, 6), the ratio of water to rice is 2/6 = 1/3. But this doesn't match the ratio we found with the given point (1/2, 1).
For the second option, (3/2, 3), the ratio is 3/3 = 1. However, this also doesn't match the ratio from the given point.
For the third option, (1/4, 2), the ratio is 2/(1/4) = 8, which again doesn't match the ratio from the given point.
Finally, for the fourth option, (2/3, 4), the ratio is 4/(2/3) = 6, which is consistent with the ratio we found from the given point (1/2, 1). Therefore, the answer is:
(2/3, 4)