Question 1084495
direct variation is y = kx


indirect variation is y = k/x


direct and indirect combined variation is y = kx/z


in your problem, z is equal to z^2.


it's the same formula except you replace z with z^2.


the direct and indirect combined variation formula becomes y = kx/z^2


y = 8 when x = 50 and z = 5.


formula becomes 8 = 50 * k / 5^2


simplify this to get 8 = 50 * k / 25


simplify further to get 8 = 2 * k


divide both sides of this equation by 2 and solve for k to get k = 4


now that you know the value of k, you can solve the problem.


the problem is find y when x = 20 and z = 2


formula of y = kx / z^2 becomes y = 20*4/4 which becomes y = 20


that's your solution.