All accounts and demands against a city or town must be submitted to the council and, if found correct, must be allowed and an order must be made that the demand be paid. The demand must be paid in accordance with one of the following options:
(1) The mayor may draw a warrant upon the treasury in favor of the owner, specifying for what purpose and by what authority it is issued and out of what funds it is to be paid. The city treasurer or town clerk shall pay the warrant out of the proper fund.
(2) The city treasurer or town clerk may pay the demand by check when there are sufficient city funds on deposit in an interest-bearing checking account in a bank within the city or town that are available to cover the check.