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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

Respuesta :

Answer:

see explanation

Step-by-step 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 = [tex]\frac{z}{xy}[/tex] = [tex]\frac{10}{12(6)}[/tex] = [tex]\frac{10}{72}[/tex] = [tex]\frac{5}{36}[/tex], hence

z = [tex]\frac{5}{36}[/tex] xy ← equation of variation

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