Question
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.
O (2, 6)
O (1/4, 2)
O (2/3, 4)
O (3/2, 3)
O (2, 6)
O (1/4, 2)
O (2/3, 4)
O (3/2, 3)
Answers
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Answered by
GPT 3.5
To find another point on the graph of this proportional relationship, we can use the information given and set up a proportion.
Given that the coordinate (1/2, 1) is on the graph, we know that when there are 1 cup of rice, there is 1/2 cup of water.
If we let x be the number of cups of rice and y be the amount of water, we can set up the proportion:
x/y = 1/2
Now, we can substitute the answer choices into this proportion to see which one yields a true statement.
A) (2, 6): 2/6 = 1/2 --> this is not true.
B) (1/4, 2): 1/4 / 2 = 1/2 --> this is true.
C) (2/3, 4): 2/3 / 4 = 1/2 --> this is not true.
D) (3/2, 3): 3/2 / 3 = 1/2 --> this is not true.
Therefore, the correct answer is (1/4, 2), so the another point on the graph is (1/4, 2).
Given that the coordinate (1/2, 1) is on the graph, we know that when there are 1 cup of rice, there is 1/2 cup of water.
If we let x be the number of cups of rice and y be the amount of water, we can set up the proportion:
x/y = 1/2
Now, we can substitute the answer choices into this proportion to see which one yields a true statement.
A) (2, 6): 2/6 = 1/2 --> this is not true.
B) (1/4, 2): 1/4 / 2 = 1/2 --> this is true.
C) (2/3, 4): 2/3 / 4 = 1/2 --> this is not true.
D) (3/2, 3): 3/2 / 3 = 1/2 --> this is not true.
Therefore, the correct answer is (1/4, 2), so the another point on the graph is (1/4, 2).
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