Question

The pair of points (3,8) and (x, 6) are on the graph of am inverse variation. What is the missing value?

Answer 1

1)
y varies inversely with x
y=k/x , where k is any constant
y=-16 when x=-64

-16 = k/ (-64)
-16 = k/-64
k=(-16)(-64) = 1024

2)
y =k/x , where k is any constant

y=8 when x=3
8 = k/3
k=24

y=24/x
when y=6
6 = 24/x
6x=24
x=4

Missing value is 4

3)
xy/4=-3
xy=-12
y=-12/x
y=kx
k=-12

4)