The amount of water is directly proportional to the number of cups of rice. The coordinates (1/2, 1) is on the graph of this proportional relationship. Identify another point on the graph.
Since the amount of water is directly proportional to the number of cups of rice, we can express this relationship using the equation y = kx, where y represents the amount of water and x represents the number of cups of rice.
Using the given coordinate (1/2, 1), we can substitute the values into the equation and solve for the constant of proportionality, k:
1 = k * 1/2
1 = k/2
k = 2
Now that we know k = 2, we can choose another value for x and find the corresponding value for y. Let's choose x = 4 for example:
y = 2x
y = 2 * 4
y = 8
Therefore, another point on the graph is (4, 8), where 4 represents the number of cups of rice and 8 represents the corresponding amount of water.
To identify 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 for every cup of rice, there is a corresponding amount of water.
Since we know that the coordinates (1/2, 1) are on the graph, it means that when there is 1/2 cup of rice, there is 1 unit of water. We can use this information to find another point.
Let's choose another value for the number of cups of rice. For example, let's choose 2 cups of rice. Since the relationship is directly proportional, we can set up a proportion to find the corresponding amount of water:
1/2 cup of rice / 1 unit of water = 2 cups of rice / x units of water
Simplifying this proportion, we get:
1/2 = 2/x
Cross-multiplying, we find:
1 * x = 2 * 2
x = 4
So, when there are 2 cups of rice, there are 4 units of water. Therefore, the coordinates (2, 4) represent another point on the graph of this proportional relationship.
To identify another point on the graph of the proportional relationship between the amount of water and the number of cups of rice, we need to understand the relationship between the two variables.
Since the amount of water is directly proportional to the number of cups of rice, it means that as the number of cups of rice increases, the amount of water will also increase in a linear manner. Mathematically, this can be represented as:
Amount of water = k * Number of cups of rice
where k is the constant of proportionality.
Given the coordinates (1/2, 1) on the graph, we can use this information to determine the value of k.
Plugging the coordinates (1/2, 1) into the equation, we get:
1 = k * (1/2)
To find the value of k, we can solve for it:
1 = k/2
Multiplying both sides by 2:
2 = k
So, the constant of proportionality, k, is equal to 2.
Now let's find another point on the graph. We can choose any value for the number of cups of rice and then calculate the corresponding amount of water using the equation:
Amount of water = 2 * Number of cups of rice
Let's say we take the number of cups of rice as 3. Plugging this into the equation, we get:
Amount of water = 2 * 3 = 6
Therefore, another point on the graph is (3, 6), where 3 represents the number of cups of rice and 6 represents the corresponding amount of water.