option 1 is correct.
step-by-step explanation:
y varies inversely with x and constant of variation is 4
the equation will be:
y = k/x
where k =4 so,
y = 4/x
if we put values of x of option 1 in the above equation and find values of y
y = 4/-2 => y =-2
y = 4/-1 => y = -4
y = 4/1 => y = 4
y = 4/2 => y =2
so, all the values of x and y are correct.
if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.
hence option 1 is correct.