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

Question

Options:
(1/4,2)
(3/2,3)
(2,6)
(2/3,4)

Answer 1

To find another point on the graph, we need to set up a proportion using the given coordinate (1/2, 1) and another unknown coordinate (x, y).

According to the proportional relationship, we can set up the following proportion:
(1/2) / 1 = x / y

To find the value of x and y, cross multiply:
1 * x = (1/2) * y
x = y/2

We have x = y/2 as our equation, which means that if y is a multiple of 2, then x will be y divided by 2.

Going through each of the options, we can see which one satisfies the equation:
1. (1/4, 2):
1/4 is not a multiple of 2, so it does not satisfy the equation.
2. (3/2, 3):
3/2 is not a multiple of 2, so it does not satisfy the equation.
3. (2, 6):
6 is a multiple of 2, so it satisfies the equation. x = 6/2 = 3.
4. (2/3, 4):
2/3 is not a multiple of 2, so it does not satisfy the equation.

Therefore, the point (2, 6) is another point on the graph.