(a) The board shall impose a tax on all property subject to district taxation in the manner provided by law for county taxes.
(b) The board shall impose the tax to:
(1) pay the interest on and create a sinking fund for bonds issued by the district for hospital purposes;
(2) provide for the operation and maintenance of the district and hospital system;
(3) make improvements and additions to the hospital system; and
(4) acquire necessary sites for the hospital system by purchase, lease, or condemnation.