The formulas for power and work are p=w/t and w=fd, where p is the power, w is the work done, t is the time, f is the force, and d is the displacement. which formula represents the relationship between displacement and power

This is the concept of algebra, given that:
power is given by:
p=w/t
and 
work is given by:
w=fd
then substituting the formula for work in our top formula we get:
p=(fd)/t
Therefor we conclude that displacement d is directly proportional to power