Question 248435
Your solution might be better suited for x varies as v but not x varies inversely  as v.
What is the inverse of v? 1/v
x varies inversely as v means x=k*1/v

Our job is to find k knowing one x and v.
x=12 and v=8
x=k*1/v
12=k*1/8
k=96
We have the equation
x=96*1/v
x=96*1/32
solve for x.