A. 0.5 m/s
b. 0.75 m/s
c. 2 m/s
d. 3 m/s

Option a. 0.5 m/s

Explanation:

This graph shows a straight line, where "Y" axis would be "Position" and "X" graph would be "Time". The ecuation that would describe this straight line is Y= aX + 1 , where "a" is the slope or inclination for this graph, and would give us the speed of the object

How do we find the slope (and hence, the speed)?: if you notice this graph, you will check that:

-When X (Time) is zero, Y (Position) is 1

-When X (Time) is 2, Y (Position) is 2

With these 4 points, you can calculate the slope (which will call "m") for this graph with:

m = (Y2-Y1)/(X2-X1)   so: Y2=2, Y1=1, X2=2, X1=0

Which gives us: m=1/2 (0.5), the slope or speed of the object: 0.5 m/s