Is y=x/5 an inverse variation?

Jun 2, 2015

$y = \frac{x}{5}$
$5 = \frac{x}{y}$
this variation is of the form $\frac{x}{y} = c$
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

• $\textcolor{red}{y}$= 1 , $\textcolor{b l u e}{x} = 5.1 = 5$
• color(red)(y =2 , $\textcolor{b l u e}{x} = 5.2 = 10$
• color(red)(y = 3 , $\textcolor{b l u e}{x} = 5.3 = 15$

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.