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
(1/4, 2)
Left Parenthesis Start Fraction 1 over 4 End Fraction comma 2 Right Parenthesis
(2/3, 4)
Left Parenthesis Start Fraction 2 over 3 End Fraction comma 4 Right Parenthesis
(3/2, 3)
Left Parenthesis Start Fraction 3 over 2 End Fraction comma 3 Right Parenthesis
(2, 6)
(2, 6)
The correct answer is (2, 6).
To find another point on the graph, we can continue using the proportionality. Since the amount of water is directly proportional to the number of cups of rice, we can form an equation with a constant of proportionality, k.
The equation can be written as:
Water = k * Rice
We are given the point (1/2, 1) on the graph. We can substitute these values into the equation and solve for k:
1 = k * (1/2)
1 = k/2
k = 2
Now that we know the constant of proportionality is 2, we can find another point by substituting a different value for the number of cups of rice. Let's try 2 cups of rice:
Water = 2 * Rice
Water = 2 * 2
Water = 4
So, the point (2, 4) is another point on the graph of this proportional relationship.