Final answer:
The value of x when y=63 is 9.
Step-by-step explanation:
In a direct variation, the value of y is directly proportional to the value of x. The equation for direct variation is y = kx, where k is the constant of variation. In this case, the constant of variation is 7.
To find the value of x when y = 63, we can set up the equation: 63 = 7x. Solving for x, we divide both sides of the equation by 7 to get x = 9.
Therefore, the value of x when y = 63 is 9 (option D).