y varies inversely as x. If x = 8 then y = 4. Find y when x = 6.y =

Answer:Step-by-step explanation:y = 1/12 when x = 6If y varies inversely as x, then the governing equation is y = k/x, where k is the constant of proportionality.If x = 8 then y = 4.  From this info we can determine the value of k:4 = k8.  Then k = 4/8 = 1/2.                                                                                                      1Then the specific inverse variation rule is y = (1/2)/x, or y = ---------                                                                                                    2x                                                                                     1Find y when x = 6.  Just substitute 6 for x:   y = ------------ = 1/12                                                                                   2(6)