How do you write an inverse variation equations given y=4 when x =7?

1 Answer
Jan 19, 2016

Answer:

#xy=28#

Explanation:

An inverse variation is of the form:
#color(white)("XXX")xy=c# for some constant #c#.

For the equation #xy=28#

#color(white)("XXX")y=4#
#color(white)("XXX")rarr x=7#

If we multiply the value of #y# by #2# (for example)
#color(white)("XXX")y=8#
#color(white)("XXX")rarr x=7/2#
That is multiplying #y# by #2# results in the need to divide #x# by #2#;
which is the basic concept of inverse variation.