Final answer:
To increase airspeed from 90 to 100 knots while maintaining the same ROD, the pilot should increase the airplane's power.
Step-by-step explanation:
If a student is maintaining 90 knots with a 500 feet per minute (FPM) rate of descent (ROD) on approach and wants to increase to 100 knots while still maintaining the same 500 FPM ROD, they should increase the airplane's power. This is because increasing power will provide more thrust, which can then be used to overcome drag and increase airspeed without changing the rate of descent. There is no need to change pitch attitude significantly, as it is primarily related to maintaining the rate of descent rather than changing airspeed.