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?

1 Answer
Jun 10, 2015

Answer:

  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 #color(red)(k) = 3.2 xx (-5.5)#

# 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#

# color(blue)(y) =k/x#
# color(blue)(y =-17.6/6.4 = -2.75#