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)