The amount of water is directly proportional to the number of cups of ice. The coordinate (1-2,1) is on the graph of this proportional relationship. Identity another point on the graph. (3-2,3) (2,6) (2-3,4) (1-4,2)
To find another point on the graph, we need to find a pair of values (x, y) that satisfy the condition that the amount of water is directly proportional to the number of cups of ice.
First, let's determine the constant of proportionality (k). We can do this by using the given point (1, 2):
k = y / x = 2 / 1 = 2
Now, to find another point, we can choose any x-value and calculate the corresponding y-value using the constant of proportionality.
Let's choose x = 3:
y = k * x = 2 * 3 = 6
Thus, another point on the graph is (3, 6).
To find another point on the graph, we can use the given information that the amount of water is directly proportional to the number of cups of ice. This means that for each cup of ice, there is a corresponding amount of water.
Given the point (1-2,1), we can interpret this as 1 cup of ice being associated with 1 unit of water.
So, another point on the graph can be determined by finding another cup of ice value and the corresponding amount of water. Let's consider the options provided:
Option 1: (3-2,3)
This option implies that 3 cups of ice are associated with 3 units of water. Since it satisfies the given proportional relationship, this point should be on the graph.
Option 2: (2,6)
This option implies that 2 cups of ice are associated with 6 units of water. This means that 2 cups of ice are associated with 2 units of water, which contradicts the proportional relationship. Therefore, this point is not on the graph.
Option 3: (2-3,4)
This option implies that 2 cups of ice are associated with 4 units of water. Since it satisfies the given proportional relationship, this point should be on the graph.
Option 4: (1-4,2)
This option implies that 1 cup of ice is associated with 2 units of water. Since it satisfies the given proportional relationship, this point should be on the graph.
Based on this analysis, the points (3-2,3), (2-3,4), and (1-4,2) are all valid points on the graph.
To identify another point on the graph, we can use the fact that the relationship is directly proportional. This means that the ratio of water to ice is constant throughout the graph.
We have the coordinate (1,2, 1) which represents 1 cup of water for 2 cups of ice. To find another point on the graph, we can choose any value for cups of ice and calculate the corresponding amount of water using the given ratio. Let's select the coordinate (2,6) and calculate the amount of water.
According to the proportion, we have:
1 cup of water / 2 cups of ice = x cups of water / 6 cups of ice
To find x, we can cross-multiply:
2 cups of ice * x cups of water = 1 cup of water * 6 cups of ice
2x = 6
Dividing both sides of the equation by 2:
x = 3
Therefore, the coordinate (2,6) represents 3 cups of water for 6 cups of ice.