Question

Is `y=5x` an inverse variation?

Answer 1

`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.