The graph is not given , but with the help of information provided by you in the question:
X : 0 1 2 3 4 5 →→ Time in Seconds
Y : 0 25 50 75 100 125 →→Height of Elevator Above Ground in feet
Rate of change can be found by using two point slope form of line.
The slope of line joining two points
is given by = 
Taking two points (1,25) and (2,50) and finding the slope of line, that is Rate of change:
Rate of change = 
Option (B) 25 is correct answer.