Question 568373
If y varies inversely with the square of x, how is y affected if x is increased by 150%?

y<sub>BEFORE</sub> = {{{drawing(47,50,0,10,-1,1,locate(0,1,k/x[BEFORE]))}}}

y<sub>AFTER</sub> = {{{drawing(47,50,0,10,-1,1,locate(0,1,k/x[AFTER]))}}}


Now 

x<sub>AFTER</sub> = 150% OF {{{drawing(47,50,0,10,-1,1,locate(0,.6,x[BEFORE]))}}}

x<sub>AFTER</sub> = 1.5{{{drawing(47,50,0,10,-1,1,locate(0,.6,x[BEFORE]))}}}


y<sub>AFTER</sub> = {{{drawing(47,50,0,10,-1,1,locate(0,1,k/x[AFTER]))}}}

y<sub>AFTER</sub> = {{{drawing(75,50,0,10,-1,1,locate(0,1,k/(1.5x[BEFORE])))}}} = {{{1/1.5}}}{{{drawing(47,50,0,10,-1,1,locate(0,1,k/x[BEFORE]))}}} =

= {{{10/15}}}{{{drawing(47,50,0,10,-1,1,locate(0,1,k/x[BEFORE]))}}} =

= {{{2/3}}}{{{drawing(47,50,0,10,-1,1,locate(0,1,k/x[BEFORE]))}}} =

= {{{2/3}}}y<sub>BEFORE</sub>

So it has been reduced by {{{2/3}}} or {{{66&2/3}}}%

Edwin