Is #8y=x# a direct variation, inverse variation, joint or neither?

1 Answer
Jun 21, 2015

Answer:

The variation is direct.

Explanation:

#8color(red)(y=x#
so, # x = ky#
Here #color(red)(x,y) # are variables and #color(blue)(8# is the constant which is a fixed value for the variation.

Starting by assigning a set of values to #y#

  • Let #y = 1 , x = (color(blue)(k).y ) = color(blue)(8) xx color(red)((1)) = 8#
  • Let #y = 2, x = color(blue)(8) xx color(red)((2)) = 16#
  • Let #y = 3, x = color(blue)(8)xx color(red)((3)) = 24#

Observing the trend in values of #x# and #y# we can conclude that the variation is direct because as one variable (#y#) increases so does the other variable(#x#).