zachryanfulcher
zachryanfulcher zachryanfulcher
  • 25-05-2019
  • Mathematics
contestada

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.

Respuesta :

jimrgrant1 jimrgrant1
  • 25-05-2019

Answer:

y = 192

Step-by-step explanation:

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

y = [tex]\frac{kx}{z}[/tex] ← k is the constant of variation

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

k = [tex]\frac{yx}{z}[/tex] = [tex]\frac{16(42)}{2}[/tex] = 336

y = [tex]\frac{336z}{x}[/tex] ← equation of variation

When x = 14 and z = 8, then

y = [tex]\frac{336(8)}{14}[/tex] = 192

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