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.(1 point)
Responses
(2, 6)
(1/4, 2)
(2/3, 4)
(3/2, 3)
To find another point on the graph, we can use the information given that the amount of water is directly proportional to the number of cups of rice.
Using the given coordinate (1/2, 1), we can set up a proportion:
(1/2) / 1 = x / y
To solve for x and y, we can cross multiply:
1 * y = (1/2) * x
y = (1/2) * x
This equation shows that y is equal to half of x. Taking this into account, we can choose from the given options:
(2, 6): The y-value is 6, which is not half of the x-value 2, so this point is not on the graph.
(1/4, 2): The y-value is 2, which is not half of the x-value 1/4, so this point is not on the graph.
(2/3, 4): The y-value is 4, which is not half of the x-value 2/3, so this point is not on the graph.
(3/2, 3): The y-value is 3, which is half of the x-value 3/2, so this point is on the graph.
Therefore, the correct answer is (3/2, 3).
To find another point on the graph, we need to 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.
The coordinate (1/2, 1) tells us that when there is half a cup of rice, there is 1 unit of water.
To find another point, we need to find another cup of rice value that corresponds to a specific amount of water.
Let's consider the options:
- (2, 6): This means that for 2 cups of rice, there would be 6 units of water. Since this is a proportional relationship, it does not fit the given coordinate (1/2, 1).
- (1/4, 2): This means that for 1/4 of a cup of rice, there would be 2 units of water. This corresponds to the given coordinate (1/2, 1) since 1/4 is half of 1/2.
- (2/3, 4): This means that for 2/3 of a cup of rice, there would be 4 units of water. This does not fit the given coordinate (1/2, 1).
- (3/2, 3): This means that for 3/2 cups of rice (1 and a half cups), there would be 3 units of water. Since this is not a whole number, it does not fit the given coordinate (1/2, 1).
Therefore, the point (1/4, 2) is the correct answer because it corresponds to the given coordinate (1/2, 1).
To identify another point on the graph of the proportional relationship, we need to find a point that satisfies the given relationship.
In this case, we know 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.
We are given the coordinate (1/2, 1) on the graph. This means that when there is 1/2 cup of rice, there is 1 unit of water.
To find another point on the graph, we can use the same ratio of water to rice. So, when there is 2 cups of rice, there should be 2 times the amount of water compared to when there is 1 cup of rice.
Using this ratio, we can determine that when there is 2 cups of rice, there should be 2 units of water. Therefore, the point (2, 6) satisfies the proportional relationship, where 2 cups of rice corresponds to 6 units of water.
The correct answer is (2, 6).