Question

If y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8

*Edit* It's high school math. Forgot to change it from middle.

Answer 1

y = 192

Explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y =
`(kx)/(z)` ← k is the constant of variation

To find k use the condition y = 16 and z = 2 when x = 42

k =
`(yx)/(z)` =
`(16(42))/(2)` = 336

y =
`(336z)/(x)` ← equation of variation

When x = 14 and z = 8, then

y =
`(336(8))/(14)` = 192