If y varies inversely with x and y triples, then what happens to x?

The value of x is reduced to one third when the value of y is tripled.

Step-by-step explanation:

Here,  y varies inversely with x.

⇒

Here, k = Constant of Proportionality.

⇒   k = x y  ..........  (1)

Now, given y' = 3 y

to find the value of x'

Putting the value in

or, k  =  3 y x '..........  (2)

From above statement  (1) and (2)

⇒ xy  = 3yx'

or, x '   =  x/3

Hence, the value of x is reduced to one - third  when the value of y is tripled.

step-by-step explanation: