Solve for K, the constant of variation, in a joint variation problem where y=520, x=5, z=6.5. Solution is?

K = 676

Step-by-step explanation:

When y is directly proportional to x and inversely poportional to z

We have

y = kx/z

When y = 520

x = 5

z = 6.5

K = ?

We have

520 = k x 5/6.5

Cross multiply

520 x 6.5 = 5k

3380 = 5k

Divide both sides by 5

3380/5 = 5k/5

676 = k

k = 676