Is #xy=4# a direct of inverse variation?

1 Answer
Apr 1, 2017

Answer:

#xy=4# is an inverse variation

Explanation:

To understand the operation of this equation: #xy=4#

the equation can be solved for a few values of #x# or #y#.

Suppose we choose values for #x# of #1, and 2, and 4#.

Then for #x=1, xy=4-> 1y=4->y=4#
Then for #x=2, xy=4-> 2y=4->y=2#
Then for #x=4, xy=4-> 4y=4->y=1#

Suppose now we choose values for #y# of #1, and 2, and 4#.

Then for #y=1, xy=4-> 1x=4->x=4#
Then for #y=2, xy=4-> 2x=4->x=2#
Then for #y=4, xy=4-> 4x=4->x=1#

In either case we saw that as the value of #x# increased, the value of #y# decreased and vice versa, so the variation between the two is inverse.