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.(1 point)
Responses
(2/3, 4)
(2, 6)
(3/2, 3)
(1/4, 2)
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.
Since (12, 1) is on the graph, we can set up a proportion to find another point.
12 cups of rice corresponds to 1 unit of water.
Let's set up the proportion: (number of cups of rice/number of units of water) = (12/1)
To find another point, we can choose any number of cups of rice and solve for the corresponding units of water.
Let's choose 2 cups of rice:
(number of cups of rice/number of units of water) = (12/1)
(2/number of units of water) = (12/1)
Cross-multiplying, we get:
2 = 12/number of units of water
Multiplying both sides by the number of units of water, we get:
2 * number of units of water = 12
Dividing both sides by 2, we get:
number of units of water = 6
Therefore, when there are 2 cups of rice, there are 6 units of water.
So another point on the graph is (2, 6).
Therefore, the correct answer is (2, 6).
Are you sur3
Yes, I am sure. The correct answer is (2, 6) as explained in the previous response.
To find another point on the graph, we can use the given proportionality relationship and the coordinate (12, 1).
Since the amount of water is directly proportional to the number of cups of rice, we can set up a proportion:
water/rice = k, where k is the constant of proportionality.
Using the given point (12, 1), we have:
12/1 = k
Simplifying, we find k = 12.
Now, we can use this constant to find another point on the graph. Let's choose rice = 2 cups:
water/2 = 12
Solving for water, we find water = 24.
Therefore, another point on the graph is (24, 2).
So, the correct response is (24, 2).
To identify another point on the graph, we need to use the given information that the amount of water is directly proportional to the number of cups of rice.
First, let's define the relationship using a proportionality constant. Let's say the proportionality constant is k.
We can represent the relationship as:
Amount of water = k * Number of cups of rice
Now, we can use the coordinates given to find the value of the proportionality constant, k.
We are given that the coordinate (12, 1) is on the graph of the proportional relationship. This means that when we have 1 cup of rice, we have 12 units of water.
So, plugging in these values into our equation, we get:
12 = k * 1
Simplifying the equation, we find that k = 12.
Now that we have the value of the proportionality constant, we can find another point on the graph by choosing any other number of cups of rice and calculating the corresponding amount of water.
Let's choose the coordinate (2, 6) and check if it satisfies the proportional relationship:
Amount of water = k * Number of cups of rice
Amount of water = 12 * 2 = 24
So, the coordinate (2, 6) represents another point on the graph of the proportional relationship.
Therefore, the correct answer is (2, 6).