Is #y=5/x# an inverse variation?

1 Answer
Jun 5, 2015

#y=5/x#

Here #color(red) (y ,x# are variables and #color(blue)(5# is the constant

Let us assume values for #color(red)(x# and observe how the values of # x and y# vary with respect to each other:

  • #color(red)(x = 1) , y = color(blue)(5)/1 = 5#
  • #color(red)(x=5 ), y = color(blue)(5)/5 = 1#
  • #color(red)(x=15) , y = color(blue)(5)/15 = 1/3#

It can be observed that as #color(red)(x# increases in value , #color(red)(y# decreases and hence the variation inverse.

  • If one variable increases the other decreases.
  • If one decreases the other increases.