Final answer:
The nurse should question giving intravenous D5W to a patient with hyperglycemia, as this solution contains glucose and could worsen high blood sugar levels. The Correct Answer is Option. C.
Step-by-step explanation:
The health problem for which a nurse should question giving intravenous 5% dextrose (D5W) at 100 ml/h to the patient is hyperglycemia. D5W is a solution that contains glucose, and administering this to a patient with hyperglycemia could exacerbate high blood sugar levels.
For dehydration or diabetes insipidus, D5W may be appropriate as these conditions usually require fluid replacement. Hypertension would not directly contraindicate D5W, but the underlying cause and fluid status of the patient would need to be considered. Therefore, the answer to the student's question is C) Hyperglycemia.