The administrator of the division of motor vehicles is authorized to issue a special registration certificate and marker for any motor vehicle constructed to be used for racing, and that must be towed over the public highways to and from such places where those vehicles are to be raced; however, these motor vehicles shall be equipped with adequate brakes and a rear light that shows a red light to the rear and also provides a source of white light to illuminate the rear number plate or marker. The fee for this registration shall be fifteen dollars ($15.00), and the registration shall expire March 31st following the date of issue. The registration plate or marker issued for this motor vehicle shall, in addition to the number assigned, bear a symbol to indicate that the vehicle is to be towed while on the public highways.