Question

What is the state of y when y = k/x, x is halved.

Answer 1

Answer:

y becomes doubled.

Explanation:

If;

       y  = $\frac{k}{x}$  

what is the state of y when x is halved;

  the given expression is an inverse relationship. When y increases, x is supposed to decrease and vice versa.

 

 if x is halved; x  = $\frac{x}{2}$

           $\frac{k}{\frac{x}{2} }$   = $\frac{2k}{x}$  

Now compare :

      $\frac{k}{x}$  :  $\frac{2k}{x}$

we see that y becomes doubled