2in4pkrdth 2in4pkrdth
  • 23-11-2020
  • Mathematics
contestada

If y varies directly as x and inversely as z and y = 4 when x = 2 and z = 7, find y when x =
6 and z = 3.

Respuesta :

jimrgrant1 jimrgrant1
  • 23-11-2020

Answer:

y = 28

Step-by-step explanation:

Given that y varies directly as x and inversely as z 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 = 4 when x = 2 and z = 7, then

4 = [tex]\frac{2k}{7}[/tex] ( multiply both sides by 7 )

28 = 2k ( divide both sides by 2 )

14 = k

y = [tex]\frac{14x}{z}[/tex] ← equation of variation

When x = 6 and z = 3 , then

y = [tex]\frac{14(6)}{3}[/tex] = 14 × 2 = 28

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