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)
If the amount of water is directly proportional to the number of cups of rice, we can write the proportion as follows:
amount of water = k * number of cups of rice,
where k is the constant of proportionality.
From the given coordinate (1/2, 1), we can substitute these values into the equation:
1/2 = k * 1.
Simplifying this equation, we have k = 1/2.
To find another point on the graph, we need to find a different number of cups of rice that is proportional to this value of k.
Let's choose the number of cups of rice to be 2. Using the equation, we have:
amount of water = (1/2) * 2 = 1.
So, another point on the graph is (2, 1).
Is the answer (1/4,2)
No, the answer is not (1/4, 2).
If we substitute (1/4, 2) into the equation, we have:
amount of water = k * number of cups of rice.
2 = k * (1/4).
Simplifying the equation, we have k = 8.
Therefore, if the coordinate (1/4, 2) were on the graph, the constant of proportionality would be 8. However, this does not match the information given in the problem statement, which states that the constant of proportionality is 1/2.
Hence, another point on the graph cannot be (1/4, 2).
Is the answer (2/3,4)
No, the answer is not (2/3, 4).
Substituting (2/3, 4) into the equation, we have:
amount of water = k * number of cups of rice.
4 = k * (2/3).
To find the value of k, we can rearrange the equation:
k = 4 / (2/3) = 6.
Therefore, with the given coordinate (2/3, 4), the constant of proportionality is 6, which does not match the information given in the problem statement, stating that the constant of proportionality is 1/2.
Hence, another point on the graph cannot be (2/3, 4).
Is the answer (2,6)
Yes, the answer is (2, 6).
Substituting (2, 6) into the equation, we have:
amount of water = k * number of cups of rice.
6 = k * 2.
To find the value of k, we can rearrange the equation:
k = 6 / 2 = 3.
Therefore, with the given coordinate (2, 6), the constant of proportionality is 3, which matches the information given in the problem statement.
Hence, (2, 6) is another point on the graph of the proportional relationship.