Final answer:
Tetracycline should not be given to children as it can cause staining and hypoplasia of the enamel of developing teeth.
Step-by-step explanation:
The antibiotic that should not be administered to children because it causes staining and hypoplasia of the enamel of developing teeth is tetracycline. This is due to tetracycline's ability to bind to calcium ions in the dental tissue, which can lead to discoloration and dental tissue damage in children whose teeth are still developing. It is essential for healthcare providers to avoid prescribing this antibiotic to young patients to prevent potential damage to their enamel.