Final answer:
The direct variation equation that relates x and y is A) y = 0.6x, found by dividing y (6) by x (10) to get the constant of variation k, which is 0.6.
Step-by-step explanation:
The direct variation equation that relates x and y, given that y = 6 when x = 10 is found by determining the constant of variation k, which is the coefficient of x in the equation y = kx.
To find k, divide the value of y by the value of x when both are known: k = y/x, which in our case is k = 6/10 or k = 0.6.
Hence, the direct variation equation is y = 0.6x, which corresponds to choice A) y = 0.6x.