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, 6)
Left Parenthesis 2 comma 6 Right Parenthesis
(32, 3)
Left Parenthesis Start Fraction 3 over 2 End Fraction comma 3 Right Parenthesis
(23, 4)
Left Parenthesis Start Fraction 2 over 3 End Fraction comma 4 Right Parenthesis
(14, 2)
(14, 2)
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. Let's use the coordinates (12, 1) as a reference point.
Since the relationship is proportional, we can set up a proportion:
(Number of cups of rice) / (Amount of water) = (Number of cups of rice) / (Amount of water)
Using the reference point (12, 1), we have:
12 cups of rice / 1 unit of water = (Number of cups of rice) / (Amount of water)
Now, let's find another point. Let's say the amount of water is 2 units. Using the proportion, we can solve for the number of cups of rice:
12 cups of rice / 1 unit of water = (Number of cups of rice) / 2 units of water
Cross multiplying:
12 cups of rice * 2 units of water = (Number of cups of rice) * 1 unit of water
24 cups of rice = (Number of cups of rice)
So, another point on the graph would be (24, 2).
Therefore, the answer is option (D) (14, 2).
To find another point on the graph of this proportional relationship, we can use the concept of direct proportionality between the amount of water and the number of cups of rice.
Since the amount of water is directly proportional to the number of cups of rice, we can set up a proportion. Let's use the given point (12, 1) and set up the proportion:
Amount of water / Number of cups of rice = Amount of water / Number of cups of rice
To solve for the other point, we need to find the amount of water when the number of cups of rice is 2. Let's use the proportion to calculate it:
(12 / 1) = (x / 2)
Cross multiplying, we have:
1 * x = 12 * 2
x = 24
Therefore, another point on the graph is (24, 2).