How do you find the variation constant and an equation of variation where y varies directly as x and y = 1 when x = 15?

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Answer 1 · 2015-10-19T19:50:28

The direct variation equation is #y = kx# which is #1 = 15k#
and the variation constant is #k = 1/15#

The equation for direct variation is y =kx where k represents the constant of variation.

When y = 1 and x = 15 the equation would translate to

1 = k(15)

To solve for k algebraically, divide by 15 on both sides of the equation.

#1/15 = k(15)/15#

This solves to

#k = 1/15#