Which equation represents the direct variation relationship of the equation x/y=1/2?
1)y=x+1/2
2)y=2x
3)y=3x
4)x=2y
The equation that represents the direct variation relationship of the equation x/y = 1/2 is option 4: x = 2y.
To determine the equation that represents the direct variation relationship of the equation x/y = 1/2, we need to rewrite the equation in the form y = kx, where k is the constant of variation.
Step 1: Multiply both sides of the equation x/y = 1/2 by y to eliminate the fraction:
x = y/2
Step 2: Multiply both sides of the equation by 2 to clear the fraction:
2x = y
Therefore, the equation that represents the direct variation relationship of x/y = 1/2 is:
y = 2x
So, the correct answer is option 2: y = 2x.