Is #1/2xy = 2# an inverse or direct variation?

1 Answer
Jun 14, 2015

Answer:

Inverse variation.

Explanation:

#1/2xy = 2#

#color(blue)( xy = 4#
#color(blue)( y = 4/x#

Here, #x and y# are variables and #4# is the constant.
Let us assume values for #x# and observe the trend in values of #y#

  1. Let #x = 1# , #y= 4/1 = 4#
  2. Let #x=4 , y=4/4 = 1#
  3. Let #x = 8, y =4/8 = 1/2#

We can observe here, that as the values of #x# increase, the values of #y# decrease and hence the variation is inverse (if one increases other decreases.)