Is the time is takes you to run a 100-meter race function of the speed you run?

Step-by-step explanation:

The simple answer is "yes".

The reason is that Distance = Speed (Velocity) * time taken.

d = v*t

Given that the distance is fixed, the velocity and time become inversely related such that an increase in velocity will mean that the distance is covered in a shorter time while an increase in time will mean that the distance is covered at a slower velocity.