The figure below shows a road running in the shape of a parabola from the bottom of a hill at A to point B. At B it changes to a line and continues on to C. The equation of the road is represented by R(x), also shown below.

B is 1000 feet horrizontally from A and 100 feet higher. Since the road is smooth, R'(x) is continuous. What is the value of b?

Multiple Choice:

A---> 0.2

B---> 0.02

C---> 0.002

D---> 0.0002

E---> 0.00002

i was thinking that the answer is (A). because (100/1000)*2 = 0.2.

thanks for the help guys