# If y varies jointly as x and z and inversely as w, and y = 3/2 when x=2, z=2, and w=4. How do you find the equation of variation for the given situation?

##### 1 Answer

Oct 29, 2017

#### Answer:

#### Explanation:

#"the initial statement is " yprop(xz)/w#

#"to convert to an equation multiply by k the constant"#

#"of variation"#

#rArry=kxx(xz)/w=(kxz)/w#

#"to find k use the given condition"#

#y=3/2" when "x=2,z=2" and "w=4#

#y=(kxz)/w#

#rArrk=(wy)/(xz)=(4xx3/2)/(2xx2)=6/4=3/2#

#"equation is " color(red)(bar(ul(|barcolor(white)(2/2)color(black)(y=(3xz)/(2w))color(white)(2/2)|)))#