Question 1057348

Find an equation of combined variation. Then solve for the missing value.
w varies directly as x and inversely as y.
One set of values is w = 3, x = 18, and y = 4.
Find w when x = 12 and y = 4.
<pre>{{{w = kx/y}}}
{{{3 = k(18)/4}}}
{{{3 = 18k/4}}}_____{{{3 = 9k/2}}}
9k = 6 ------- Cross-multiplying
{{{matrix(1,3, k = 6/9, or, 2/3)}}}

{{{w = kx/y}}}
{{{w = (2/3)(12)/4}}}______{{{w = 8/4}}}_______{{{highlight_green(w = 2)}}}