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