Yes, y varies directly with x and the equation is y = 2x.
The correct answer to the given question is option A.
To determine if y varies directly with x, we can look at the given options and see if any of them represent direct variation.
Direct variation implies that a change in one variable (x) will result in a proportional change in the other variable (y). The equation for direct variation is in the form y = kx, where k is a constant.
Out of the given options, the equation y = 2x represents direct variation. When x increases by 1, y increases by 2, demonstrating a consistent proportional relationship. Therefore, the correct option is: yes; y = 2x.