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

##y=5x## here ##color(red) (y and 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=2 ), y = color(blue)(5).2 = 10##
  • ##color(red)(x=3) , y = color(blue)(5).3 = 15##

It can be observed that as ##color(red)(x## increases in value , so does ##color(red)(y## and hence the variation is not inverse, it is direct variation.

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