Final answer:
The patient's increased abdominal pain with rebound tenderness, fever, and elevated white blood cell count following a motor vehicle accident and negative FAST exam are most consistent with appendicitis, indicating possible injury to the appendix.
Step-by-step explanation:
An adult patient involved in a high-speed motor vehicle collision developed increased abdominal pain with rebound tenderness, fever, and an elevated white blood cell count after an initially negative Focused Assessment with Sonography for Trauma (FAST) exam for fluid in the abdominal cavity. These findings are suggestive of an intra-abdominal injury that has progressed to an inflammation or infection within the abdomen; the organ most consistently associated with these symptoms, especially when considering the clinical presentation of rebound tenderness, is the appendix, indicating a possible appendicitis. Given the patient's symptoms developed after the initial assessment, this could imply a delayed rupture or progression of an inflammatory process in the appendix, leading to peritonitis and worsening clinical signs.