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) Left Parenthesis 2 comma 6 Right Parenthesis (2/3, 4) Left Parenthesis Start Fraction 2 over 3 End Fraction comma 4 Right Parenthesis (1/4, 2) Left Parenthesis Start Fraction 1 over 4 End Fraction comma 2 Right Parenthesis (3/2, 3)
(2, 6)
To identify another point on the graph of this proportional relationship, we need to find a pair of values that satisfy the relationship.
Since the amount of water is directly proportional to the number of cups of rice, we can use the given coordinate (1/2, 1) to write the proportion:
(1/2) / 1 = x / y
Simplifying the proportion:
1/2 = x / y
Now we can substitute different values for x and y to find another point on the graph.
Let's try substituting x = 2 and y = 6:
1/2 = 2 / 6
1/2 = 1/3
This does not satisfy the proportion, so (2, 6) is not another point on the graph of this relationship.
Next, let's try substituting x = 2/3 and y = 4:
1/2 = (2/3) / 4
1/2 = 1/6
This also does not satisfy the proportion, so (2/3, 4) is not another point on the graph.
Now, let's try substituting x = 1/4 and y = 2:
1/2 = (1/4) / 2
1/2 = 1/8
This does satisfy the proportion, so (1/4, 2) is another point on the graph.
Lastly, let's try substituting x = 3/2 and y = 3:
1/2 = (3/2) / 3
1/2 = 1
This does not satisfy the proportion, so (3/2, 3) is not another point on the graph.
Therefore, the point (1/4, 2) is another point on the graph of this proportional relationship.
To find 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 if we have a ratio of 1 cup of rice to 1 unit of water, any other ratio of cups of rice to water will still follow the same proportionality.
Given that the coordinate (1/2, 1) is on the graph, it means that we have half a cup of rice corresponding to 1 unit of water. To find another point, we can multiply or divide both sides of this proportion to get a different ratio of rice to water.
Let's try the first option, (2, 6). This means that we have 2 cups of rice and 6 units of water. We can check if this point satisfies the proportionality:
1/2 : 1 = 2 : 6
1/2 : 1 = 1/2 : 1
Since both sides of the equation are equal, we can conclude that (2, 6) is another point on the graph of the proportional relationship.
Therefore, the answer is another point on the graph is (2, 6).