Final answer:
The correct statement by the nurse explains that annual eye exams can detect changes in the retinal arteries caused by hypertension, which is essential for monitoring the health of the eye and preventing complications(option d).
Step-by-step explanation:
The statement by the nurse that accurately explains the need for a client with hypertension to obtain an annual eye exam is (option d):
"By examining the retina in your eyes, an ophthalmologist can detect changes in the arteries in your eyes."
Annual eye exams are important for individuals with hypertension because they can help detect hypertensive retinopathy, which is damage to the retinal blood vessels caused by high blood pressure. Examining the retina allows ophthalmologists to assess the health of the blood vessels in the eyes and identify any changes or abnormalities that may be related to hypertension.