The bag may include a draw tape that may be used to cinch closed the opening of the bag. The draw tape has at least one stretched elastomeric strip attached to the draw tape in an extended condition. The draw tape may be smaller in size than the bag sidewalls. The draw tape may include an elastic characteristic, such as patterned ribs. In one embodiment, the roll of bag is kept under tension to maintain the elastomeric strips in a stretched condition.