In a direct variation equation, #f(x) = 6# when #x=4#. What is the direct variation equation?

1 Answer
Aug 8, 2017

#f(x) = 3/2 x#

Explanation:

Given: #f(x) = 6 " when "x = 4,# For direct variation.

Direct variation has the form: #y = k x#

#f(x) = y#. So we can find the constant of proportionality #k#:

#6 = k*4#

#6/4 = (k*4)/4#

#k = 6/4 = 3/2#

Direct variation equation: #f(x) = 3/2 x#