Question 1186155
direct variation equation is y = k * x
solve for k to get k = y/x.


inverse variation equation is y = k/x
solve for k to get k = y * x.


when you are dealing with direct and inverse relationships, the equation is z = k * x / y
x is the direct variation variable and y is the inverse variation variable.


when z = 12 and x = 4 and y = 4, the equation becomes:


12 = k * 4 / 4 which becomes:


12 = k


now that you know the value of k, you can solve the problem, because k is the constant of variation and doesn't change.


when x = 8 and y = 10, z = k * x / y becomes z = 12 * 8 / 10 which becomes z = 9.6.


that's your solution.