Question

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

Answer 1

`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.