Assume y varies directly as x.

If x = 4 when y = 36, what is the value of
k?

If y = kx, then k = y/x

To find the value of k in a direct variation equation, we can use the formula:

y = kx

In this case, we are given that y varies directly as x, so we can write the equation as:

y = kx

Now, we can use the given information to solve for k. It is given that when x = 4, y = 36. Plugging these values into the equation:

36 = k(4)

Now we can solve for k by dividing both sides of the equation by 4:

36/4 = k

Therefore, the value of k is 9.