(a) A majority of the judges of district courts having jurisdiction in Bexar County may appoint an assignment clerk to serve under the presiding judge of the district courts in the coordination, setting, and disposing of cases on the general docket. The assignment clerk shall perform the duties that are assigned to him by the district judges in connection with the coordination, setting, and disposing of cases.
(b) The district judges shall determine reasonable compensation for the assignment clerk, which may not exceed an amount equal to 70 percent of the salary paid by the state to each district judge. The commissioners court shall provide for the payment of the salary of the assignment clerk out of the general fund or the jury fund of the county.