In a directly proportional relationship, if one quantity doubles, the other quantity also doubles. The given point (1/2, 1) indicates that with 1/2 cups of rice, 1 unit of water is needed.
To find another point on the graph, we can use the concept of proportionality. If we multiply the number of cups of rice by 2, we can find the corresponding amount of water.
If \( \text{rice} = 1/2 \), then multiplying by 2 gives us \( 1 \) cup of rice, and since the relationship is proportional, the amount of water will also double:
- \( \text{water} = 1 \times 2 = 2 \)
This means the new point is (1, 2).
Now, looking at the options given, we can identify another point by finding one that maintains this proportional relationship:
- (2, 6) → This would indicate 2 cups of rice and 6 units of water, which is not proportional because it is not directly scaled from (1/2, 1).
- (14, 2) → Not proportional, similar reason.
- (32, 3) → Not proportional.
- (23, 4) → Again, not proportional.
None of the options provide another correct point based on the ratio derived from the proportional relationship shown by the (1/2, 1) point. However, any point that maintains the ratio of water to rice found in (1/2, 1) must be of the form (x, 2x) where \( x \) corresponds to the number of cups of rice. Therefore, the answer would need to be derived or calculated rather than relying on the given points, as they do not appear to uphold the proportionality derived from the initial point.
If you choose to multiply (1/2, 1) by a common factor, such as 4, it gives you (2, 4), which is again not in the options.
Conclusion: Based on the point (1/2, 1), no point given in the options is correctly identified. If we had more options, we could potentially calculate more valid points.