Question

Given that y varies directly with x, and x = 1/6, y = 1, how do you write a direct variation equation that relates x and y?

Answer 1

`y = 6x`

Explanation:

In direct proportion questions, a proportion can be changed into an equation by multiplying by a constant (k).
Use the given values for x and y to find the value of k.

`ypropx rArr y = kx`

`1 = k(1/6)`

`6 = k`

Replace `k` with 6 in the equation.

The equation is: `y = 6x`