Final answer:
The correct inequality for an airplane climbing at a rate of at least 25 feet per second is 'h ≥ 25c', representing the height after c seconds as being 25 times c or more.
Step-by-step explanation:
The inequality that represents the situation where an airplane climbs at a rate of at least 25 feet per second is given by the inequality h ≥ 25c.
This means the height h of the airplane c seconds after take-off is at least 25 times the number of seconds c, and it could be more if the airplane is climbing faster than the given rate. Thus, the correct answer is A. h ≥ 25c.