Answer:
k = 192
Step-by-step explanation:
Given that,
y varies inversely with x. It can be written as :
[tex]y=\dfrac{k}{x}[/tex]
Where
k is the constant of variation
Put x = 16 and y = 12 in the above formula.
[tex]k=yx\\\\k=16\times 12\\\\k=192[/tex]
So, the value of the constant of variation is equal to 192.