Answer
The constant of variation is
k = 6
Since the direct variation equation is
y = kx
We can just substitute the value of k
y = 6x
Explanation
We are told that y varies directly as x, which can be written as
y ∝ x
Introducing the constant of variation, k, we have
y ∝ x
y = kx
We can then solve for k knowing that
y = 1 when x = (1/6)
y = kx
1 = (k) (1/6)
1 = (k/6)
We can rewrite this as
(k/6) = 1
we can then multiply both sides by 6
(k/6) × 6 = 1 × 6
k = 6
Hope this Helps!!!
