Suppose y varies directly with x and inversely with z. When x = 65 and z=5 , then y = 26. Find the constant of variation and the equation of combined variation.

Answer:y = 65x/z

Step-by-step explanation:

Suppose y varies directly with x and inversely with z. It means that as y increases or decreases, y increases or decreases while z decreases or increases respectively.

In order to remove the variation symbol and replace with an equation symbol, we would introduce a constant of variation, k. It becomes

y = kx/z

When x = 65 and z=5 , then y = 26. We would substitute these value to get the constant of variation, k. It becomes

26 = 65k/5

65k = 65

k = 1

The equation of combined variation will be

y = 65x/z