Is y =2/ x  an inverse variation?

Jun 2, 2015

$y = \frac{2}{x}$

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 , $\textcolor{b l u e}{y} = \frac{2}{2} = 1$
• color(red)(x = 4 , $\textcolor{b l u e}{y} = \frac{2}{4} = \frac{1}{2}$
• color(red)(x = 8 , $\textcolor{b l u e}{y} = \frac{2}{8} = \frac{1}{4}$

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.