Final answer:
In the Vaccines for Children's (VFC) program, the eligible patient is a 6 year old whose health insurance is provided by Medicaid. The VFC program aids children through 18 years of age who are Medicaid-eligible, uninsured, underinsured or American Indian or Alaska Native.
Step-by-step explanation:
If a physician is registered as a Vaccines for Children's (VFC) provider and plans to administer vaccines to four patients, the patient who would be eligible for the program is: A. 6 year old whose health insurance is provided by Medicaid. The VFC program is designed to provide vaccines at no cost to children who might not otherwise be vaccinated due to inability to pay. The VFC Program is available to children through 18 years of age if they are Medicaid-eligible, uninsured, underinsured, or American Indian or Alaska Native.
In the case of the other listed patients: B. A 19-year-old patient is outside the age range for VFC eligibility, as it is a program for individuals through age 18. C. A 13-year-old with insurance coverage for vaccines would not be eligible since their vaccines would already be covered by their private insurance. D. A 3-year-old Polynesian patient with insurance but unpaid deductible is eligible since they are underinsured.