The amount of water is directly proportional to the number of cups of rice. The coordinate 1/2 and one is on the graph of the proportional relationship identify another point on the graph would it be two, 63 over two, three 2/3, four or 1/4, two.

Answer 1

To find another point on the graph of the proportional relationship, we can use the given coordinate (1/2, 1) and vary the value of cups of rice while keeping the proportion constant.

Let's assume that the proportionality constant is k.

We can set up a proportion based on the given information:
1/2 * k = 1

Since 1/2 is the number of cups of rice and 1 is the corresponding amount of water, we need to find another pair of values that satisfies this proportion.

To find another point, we can choose a different value for the cups of rice and solve for the corresponding amount of water.

Let's try the options one by one:

1) (two, 63 over two):
two * k = 63 over two
2k = 63/2

This equation does not satisfy the proportion (1/2 * k = 1), so (two, 63 over two) is not another point on the graph.

2) (three 2/3, four):
(3 2/3) * k = 4

To solve for k, we need to convert 3 2/3 to an improper fraction:
3 2/3 = (3 * 3 + 2) / 3 = 11/3
(11/3) * k = 4

Solving this equation, we find:
k = 4 * 3/11 = 12/11

So the corresponding point on the graph would be (three 2/3, four) or (11/3, 4).

Therefore, the answer is three 2/3, four.

3) (1/4, two):
(1/4) * k = 2
k = 2 * 4 = 8

So the corresponding point on the graph would be (1/4, two).

Therefore, the answer is 1/4, two.

In summary, another point on the graph that satisfies the proportional relationship is (three 2/3, four) or (11/3, 4).