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

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.⇒[tex]y \propto \frac{1}{x} \\\implies y =  \frac{k}{x}[/tex]Here, k = Constant of Proportionality.⇒   k = x y  ..........  (1)Now, given y' = 3 yto find the value of x'Putting the value in [tex]y ' =  \frac{k}{x'}  \implies 3y=  \frac{k}{x'}\\\implies  k = 3yx'[/tex]or, k  =  3 y x '..........  (2)From above statement  (1) and (2)⇒ xy  = 3yx'or, x '   =  x/3Hence, the value of x is reduced to one - third  when the value of y is tripled.