Question 1128290


The fact that {{{y}}} varies jointly as {{{x^2}}} and the {{{ z^3}}} and sqrt(w) means that

{{{y = k *x^2*z^3*sqrt(w)}}}  for some constant {{{k}}}

When {{{x = 4}}}, {{{z = 2}}}, and {{{w = 9}}}, then {{{y = 384}}}

{{{384 = k *4^2*2^3*sqrt(9)}}} 

{{{384 = k *16*8*3}}} 

{{{384 = k *384}}} 

{{{k =1}}} 

so, {{{highlight(y = x^2*z^3*sqrt(w))}}} describing the relationship of the given variables