Question

If y varies inversely with x, and y= 12 when x = 16, what is the constant of variation k?

Answer 1

Answer:

k = 192

Step-by-step explanation:

Given that,

y varies inversely with x. It can be written as :

$y=\dfrac{k}{x}$

Where

k is the constant of variation

Put x = 16 and y = 12 in the above formula.

$k=yx\\\\k=16\times 12\\\\k=192$

So, the value of the constant of variation is equal to 192.