he 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.
To find another point on the graph, we can use the fact that the amount of water is directly proportional to the number of cups of rice. This means that if we double the number of cups of rice, the amount of water will also double.
Since the coordinate (1/2, 1) is on the graph, it means that when there is 1/2 cup of rice, there is 1 cup of water. Double the amount of rice to get 1 cup, and the amount of water should also double to get 2 cups.
Therefore, another point on the graph is (1, 2), where there is 1 cup of rice and 2 cups of water.
To identify another point on the graph, we can use the given proportional relationship and the given coordinate (1/2, 1).
A proportional relationship can be represented by an equation in the form y = kx, where y is the dependent variable (in this case, the amount of water), x is the independent variable (in this case, the number of cups of rice), and k is the constant of proportionality.
From the given coordinate (1/2, 1), we can see that when x = 1/2 (number of cups of rice), y = 1 (amount of water).
Plugging these values into the equation, we have:
1 = k(1/2)
To solve for the constant of proportionality (k), we can multiply both sides of the equation by 2:
2 * 1 = k * (1/2)
2 = k/2
Multiplying both sides of the equation by 2:
2 * 2 = k
4 = k
We have found that k = 4.
Now, we can use this value of k to find another point on the graph. Let's choose x = 2:
y = kx
y = 4 * 2
y = 8
Therefore, the other point on the graph is (2, 8).
So, the second point on the graph is (2, 8).
To identify another point on the graph, we need to understand the relationship between the amount of water and the number of cups of rice.
We are given that the amount of water is directly proportional to the number of cups of rice. This means that as the number of cups of rice increases or decreases, the amount of water will also increase or decrease by the same factor.
In the given coordinate (1/2, 1), (1/2) represents the number of cups of rice, and 1 represents the corresponding amount of water. This means that when there is half a cup of rice, we need 1 unit of water.
To find another point on the graph, we need to find another pair of values that satisfy this proportional relationship. We can do this by finding a number that, when multiplied by the number of cups of rice, gives us the corresponding amount of water.
Let's say we choose 2 cups of rice. Since the amount of water is directly proportional, we can set up a proportion:
(1/2) cups of rice / 1 unit of water = 2 cups of rice / x units of water
To solve for x, we cross multiply and get:
(1/2) units of water = 2 cups of rice
Multiplying both sides by 2, we have:
x units of water = 4 cups of rice
Therefore, another point on the graph is (4, 2). This means that when there are 4 cups of rice, we need 2 units of water.