How do you write an inverse variation equation that relates x and y when you assume that y varies inversely as x given that if y=3.2 when x= -5.5, find y when x= 6.4?

Jun 10, 2015

1. xy = color(red)(-17.6
2. color(blue)( y = -2.75

Explanation:

color(blue)(xy) =color(red)(k is the representation of inverse variation.

• Inverse variation 1
$y = 3.2$
$x = - 5.5$

So $\textcolor{red}{k} = 3.2 \times \left(- 5.5\right)$

 color(red)(k =- 17.6
So the variation can be mentioned as xy = color(red)(-17.6

• Inverse variation 2
Now we have the value of the constant
 color(red)(k=-17.6
And as per the question
$x = 6.4$

$\textcolor{b l u e}{y} = \frac{k}{x}$
 color(blue)(y =-17.6/6.4 = -2.75