(1) If a vacancy on the board of directors occurs by death, resignation, or removal from the resort area district, the remaining directors shall appoint a director to fill the vacancy. The term of the appointment coincides with the term that became vacant.
(2) An appointee to the board of directors must be elected by a majority of those voting at an election conducted in accordance with Title 13, chapter 1, part 5, as soon as possible following the appointment. If an appointee does not receive a majority of the votes cast in the election, the appointee's term expires and the board shall initiate the process to fill the vacancy as provided in subsection (1).