Final answer:
For an unresponsive child with a pulse and an obstructed airway, the correct response is to administer one rescue breath every five to six seconds, which is about 10 to 12 breaths per minute.
Step-by-step explanation:
For a child who is found unresponsive with a pulse and an obstructed airway, rescue breaths should be administered. According to the guidelines, the appropriate response is to give one breath every three to five seconds, which translates to about 12-20 breaths per minute. Therefore, the correct answer to the question is ('a' one breath every five to six seconds about 10 to 12 breaths per minute). This aligns closely with the natural resting respiratory rate of a child of that age, which typically ranges from 18 to 30 breaths per minute. Always ensure that each rescue breath lasts about 1 second and makes the chest rise visibly. Proper technique is critical in ensuring that oxygen is being delivered effectively.