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 (23, 4) Left Parenthesis Start Fraction 2 over 3 End Fraction comma 4 Right Parenthesis (14, 2) Left Parenthesis Start Fraction 1 over 4 End Fraction comma 2 Right Parenthesis (32, 3) Left Parenthesis Start Fraction 3 over 2 End Fraction comma 3 Right Parenthesis (2, 6)
The correct answer is (14, 2).
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 the ratio of water to rice cups will be the same for all points on the graph.
Given the point (12, 1), we can use this ratio to find another point. Let's consider the point (23, 4).
The ratio of water to rice cups for the point (12, 1) is:
Water cups / Rice cups = 1 / 12
If the ratio is the same for the point (23, 4), we can set up the equation:
Water cups / Rice cups = 4 / 23
Now, we can solve for the water cups at the point (23, 4):
Water cups = (4 / 23) * Rice cups
Water cups = (4 / 23) * 1
Water cups = 4 / 23
Therefore, the point (23, 4) is another point on the graph.
To find another point on the graph of this proportional relationship, we can use the given information that "The amount of water is directly proportional to the number of cups of rice." This means that if we have a ratio of water to rice cups, it will remain the same throughout.
Given that the point (12, 1) is on the graph, we can set up the following ratio:
water : rice cups = 1 : 12.
To find another point on the graph, we can multiply both sides of the ratio by the same constant. Let's choose 4 in this case to get a different point:
water : rice cups = 1 : 12
4 * (water : rice cups) = 4 * (1 : 12)
4 water : 4 rice cups = 4 : 48
Simplifying this, we get the new ratio as:
water : rice cups = 1 : 12
4 water : 4 rice cups = 1 : 12.
So, another point on the graph would be when we have 4 cups of water and 4 cups of rice. This can be represented as (4, 4). Therefore, the correct answer is (4, 4).