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

1 Answer
Jun 2, 2015

#y =x/ 5 #
#5 =x/ y #
this variation is of the form #x/y = c#
#color(blue)(x) = 5. color(red)(y #

here the variables are #y# and #x# and the constant is #5#

understanding the variation through an example :

Assigning random values to #color(red)(y#

  • # color(red)(y)#= 1 , #color(blue)(x) = 5.1 = 5#
  • #color(red)(y# =2 , #color(blue)(x) = 5.2 = 10#
  • #color(red)(y# = 3 , #color(blue)(x) = 5.3= 15#

By observing an increase of one of the variables with respect to another we can come to a conclusion that the variation is direct .

As #color(red)(y# increases so does #color(blue)(x#

Looking at a more practical example.
Distance= (Speed)x( Time )

Here as speed increases , the distance then covered would also increase , thus there is a direct variation.