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
Another point on the graph of this proportional relationship can be obtained by choosing any other coordinate (k, n) where n is directly proportional to k.
To identify another point on the graph of this proportional relationship, we first need to understand the nature of the relationship. It is mentioned that the amount of water is directly proportional to the number of cups of rice. This means that if we increase the number of cups of rice, the amount of water will also increase by the same ratio.
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 this ratio to determine the corresponding values of cups of rice and water.
Let's choose an arbitrary value for cups of rice, say 2 cups. If 1/2 cup of rice corresponds to 1 unit of water, then 2 cups of rice will correspond to 4 units of water. So, another point on the graph is (2, 4), where 2 cups of rice corresponds to 4 units of water.
Hence, the other point on the graph is (2, 4).
The amount of water is directly proportional to the number of cups of rice. The coordinate (12, 1) is on the graph of this proportional relationship. Identify another point on the graph.
To identify 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 rice.
Given the coordinate (12, 1), this means that when there are 12 cups of rice, there is 1 unit of water. To find another point on the graph, we can use this ratio to determine the corresponding values of cups of rice and water.
Let's choose an arbitrary value for water, say 4 units. If 12 cups of rice corresponds to 1 unit of water, then 4 units of water will correspond to 12 x 4 = 48 cups of rice.
Therefore, another point on the graph is (48, 4), where 48 cups of rice correspond to 4 units of water.
Hence, the other point on the graph is (48, 4).
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 rice.
Let's assume the amount of water is represented by "w" and the number of cups of rice is represented by "r".
From the given information, we can say that the equation representing this proportional relationship is:
w = k * r
where "k" is the constant of proportionality.
Now, let's substitute the given coordinate (1/2, 1) into the equation to find the value of "k":
1 = k * (1/2)
Multiplying both sides by 2, we get:
2 = k
So, the constant of proportionality "k" is equal to 2.
Now, let's find another point on the graph by plugging in a value for "r":
Let's say we choose "r = 3".
Using the equation w = 2 * r, we can find the corresponding value of "w":
w = 2 * 3 = 6
Therefore, another point on the graph is (3, 6).