Question

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

Answer 1

Answer:

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.

⇒$y \propto \frac{1}{x} \\\implies y = \frac{k}{x}$

Here, k = Constant of Proportionality.

⇒   k = x y  ..........  (1)

Now, given y' = 3 y

to find the value of x'

Putting the value in

$y ' = \frac{k}{x'} \implies 3y= \frac{k}{x'}\\\implies k = 3yx'$

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.