To find the unit rate describing the number of seconds it takes the marble to travel one centimeter, we need to invert the given unit rate of 2 centimeters per second.
This can be done by taking the reciprocal (or multiplicative inverse) of the given unit rate:
1 / 2 cm/s
This means that the marble travels 1 centimeter in 1 / 2 second, or
2 seconds per centimeter
Therefore, the unit rate describing the number of seconds it takes the marble to travel one centimeter is 2 seconds per centimeter.
The answer is option D.