Question 1181627

 An inverse variation can be represented by the equation {{{xy=k}}}=>{{{y=k/x}}} or {{{y=kx }}}. That is, {{{y}}} varies inversely as {{{x }}}if there is some nonzero constant {{{k }}}such that, {{{y=k/x}}} or {{{y=kx}}} where {{{x<>0}}},{{{y<>0}}}


If {{{y }}}varies inversely as {{{x }}}, we have

{{{y =k/x}}}

and if {{{y= 3}}} when {{{x=4}}}, you can find {{{k}}}

{{{3 =k/4}}}

{{{k=3*4}}}

{{{k=12}}}

then 

{{{y =12/x}}}