Provide the proper response.Answer the following:(a) Write the equation meaning "y varies inversely as x."(b) If y varies inversely as x, does x vary inversely as y? Support your answer.(c) If y varies inversely as the square root of x, does x vary inversely as the square root of y? Support your answer.

Question

What will be an ideal response?

Answer 1

(a) y =  for some constant .
(b) Yes. If y = , then x = . 
(c) No.
If y = , then y² =  and x = .
Since k² is also a constant, the equation shows that x varies inversely as the square of y, not the square root of y.