Respuesta :

Answer:

k = 18

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

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

To find k use the condition y = 3 when x = 6, that is

3 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

18 = k

The constant of variation is k = 18