Final answer:
The formula connecting y and x in the given scenario is y = 3x.
Step-by-step explanation:
The formula connecting y and x in the given scenario where y varies directly with x is y = 3x. This is because in a direct variation, the ratio of y to x remains constant. To find the constant of variation, we can use the given data point where y = 3 and x = 6.
Plugging in these values, we get 3 = 3(6). Simplifying the equation, we find that both sides are equal, indicating that the values satisfy the direct variation equation.