Respuesta :
Answer:
The expression represents the constant of variation k is [tex]\frac{xz}{y}[/tex].
Step-by-step explanation:
As given
A quantity x varies directly with y and inversely with z.
[tex]x \propto y[/tex]
and
[tex]x \propto \frac{1}{z}[/tex]
Than combined the above equation.
[tex]x \propto \frac{y}{z}[/tex]
[tex]x = k\frac{y}{z}[/tex]
Where k is the constant of variation.
Than
[tex]k = \frac{xz}{y}[/tex]
Therefore the expression represents the constant of variation k is [tex]\frac{xz}{y}[/tex].
