(a) The board may authorize the governing body of a municipality to appoint one member to the board if:
(1) the municipality:
(A) designates a public transportation financing area for the benefit of the authority under Subchapter I and enters into an agreement with the authority under § 460.602; or
(B) authorizes the authority’s sales and use tax levy at the rate of one-half of one percent; and
(2) the appointment is approved by an affirmative vote of at least three-fifths of the members described by either § 460.253(1) or (3) and at least one member appointed by the commissioners court.
(b) The board shall adopt rules and bylaws governing the appointment of a member under this section.