Question

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

Answer 1

`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.