Question 167607
d varies inversely as w and directly as the square of v.
This translates to:
d ={{{(kv^2)/w}}}
:
 If d=40 when w=6 and v=2,
40 = {{{(k*2^2)/6}}}
Find k
{{{(4k)/6}}} = 40
:
Multiply both sides by 6
4k = 6*40
4k = 240
k = {{{240/4}}}
k = 60
;
The equation: d = {{{(60v^2)/w}}}



 find d when w=9 and v=4.
d = {{{(60(4^2))/9}}}
d = {{{(60(16))/9}}}
d = {{{960/9}}}
d = 106{{{2/3}}}