The value of y, varying directly with x, is found using the constant of proportionality. When x is 2 1/4, y is 337 1/2.
In a direct variation, two variables, x and y, are related by the equation y = kx, where k is the constant of proportionality. In this case, when y is 75 and x is 1/2, we can use this information to find the value of k:
75 = k * (1/2)
Solving for k, we get k = 150.
Now that we know the constant of proportionality, we can use it to find the value of y when x is 2 1/4:
y = 150 * 2 1/4
To simplify, convert 2 1/4 to an improper fraction: 2 1/4 = 9/4.
y = 150 * 9/4 = 1350/4 = 337 1/2.
Therefore, the value of y when x is 2 1/4 is 337 1/2.
The question probable may be:
The value of y varies directly with x. When y=75, x= 1/2 . What is the value of y when x is 2 1/4 ？ A 84 3/8 B 337 1/2 C 16 2/3 D 168 3/4