Final answer:
The most likely explanation for the increasing numbers of pertussis infections is the acellular nature of the DTaP vaccine, which leads to reduced immune response and potentially less effective long-term protection.
Step-by-step explanation:
The most likely explanation for the increasing numbers of pertussis infections is the acellular nature of the DTaP vaccine. The DTP vaccine, which contained killed whole-cell B. pertussis preparations, was more effective than the DTaP vaccine at providing long-term protection. The acellular nature of the DTaP vaccine means that it contains only specific components of the pertussis bacteria, leading to reduced immune response and therefore potentially less effective long-term protection.