Question

if y varies directly as x, find the constant of variation k and the direct variation equation for the situationy=1 when x=1/6

Answer 1

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

Step-by-step 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!!!