Home > Algebra > Inverse Variation Models

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?

Answer 1

The equation of variation for the given situation is y = k(xz/w), where k is the constant of variation. To find the value of k, substitute the given values of y, x, z, and w into the equation and solve for k.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

#y=(3xz)/(2w)#

#"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)|)))#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.