Question

Given that z varies Directly with y and varies Indrectly with x, use the given values to find an equation that relates x, y, and z. X=6, y=12, and z= 10

Answer 1

see explanation

Explanation:

Given that z varies directly with y and x then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition x = 6, y = 12 and z = 10

k =
`(z)/(xy)` =
`(10)/(12(6))` =
`(10)/(72)` =
`(5)/(36)`, hence

z =
`(5)/(36)` xy ← equation of variation