Question 1047391
If y varies inversely as x...
<pre>Then {{{y}}}{{{""=""}}}{{{k/x}}}</pre>and x is increased in the ratio 3:5<pre>

Then {{{matrix(1,3,

matrix(1,2,OLD,x)/matrix(1,2,NEW,x),

""="",

3/5)}}}</pre>how is y changed?<pre>Cross-multiply:

{{{5(matrix(1,2,OLD,x))}}}{{{""=""}}}{{{3(matrix(1,2,New,x))}}}

{{{expr(5/3)(matrix(1,2,OLD,x))}}}{{{""=""}}}{{{matrix(1,2,New,x)}}}

Replace x by {{{expr(5/3)x}}} in

{{{y}}}{{{""=""}}}{{{k/x}}}

{{{y}}}{{{""=""}}}{{{k/(expr(5/3)x)}}}{{{""=""}}}{{{3k/5x)}}}{{{""=""}}}{{{expr(3/5)*(k/x)}}}

So y is decreased in the ratio 5:3.

Edwin</pre>