Question

Is `y =2/ x` an inverse variation?

Answer 1

`y =2/ x`

here the variables are `y` and `x` and the constant is `2`

understanding the variation through an example :

Assigning random values to `color(red)(x`

• `color(red)(x` = 2 , `color(blue)(y) = 2/2 = 1`
• `color(red)(x` = 4 , `color(blue)(y) = 2/4 = 1/2`
• `color(red)(x` = 8 , `color(blue)(y) = 2/8 = 1/4`

By observing the trend of increase/decrease of one of the variables with respect to another we can come to a conclusion that the variation is inverse.

As one variable `color(red)((x)` increases the other variable `color(blue)((y)` decreases.

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

Speed = Distance / Time

Here as speed increases the time taken to cover a constant distance then decreases . Thus it is an inverse variation.