Question

What is the direct variation of 0.7x−1.4y=0.

a) y=0.5x
b) y=2x
c) y= 1/2 x
d) y=−x

Answer 1

The direct variation of the equation 0.7x - 1.4y = 0 is found by isolating y in terms of x, which results in the equation y = 0.5x. Hence, the correct answer is option a) y = 0.5x.

Step-by-step explanation:

To find the direct variation of the equation 0.7x - 1.4y = 0, we need to solve it for y in terms of x. Direct variation means that y can be expressed as a multiple of x (y = kx where k is a constant). Starting with the given equation, we can isolate y as follows:

1. Divide both sides of the equation by -1.4 to solve for y. This gives us:
   -0.5x + y = 0
2. Rearrange the equation to isolate y on one side:
   y = 0.5x

The equation y = 0.5x represents the direct variation, which is the ratio of y to x. Therefore, option a) y = 0.5x is the correct answer.