Final answer:
The 'bronchial tree' is the term for the air tubules in the respiratory system with branching similar to a tree, consisting of the bronchi, bronchioles, alveolar ducts, and alveoli for gas exchange.
Step-by-step explanation:
The term given to the air tubules in the respiratory system that resembles the branching of a tree is known as the bronchial tree. This structure includes the branching of the bronchi and bronchioles within the lungs. The trachea branches into the right and left primary bronchi, which then divide into secondary and tertiary bronchi, leading to the bronchioles. These bronchioles further subdivide to end in terminal bronchioles that connect to alveolar ducts, forming clusters known as alveolar sacs. These sacs contain the alveoli, resembling bunches of grapes, where the gas exchange occurs with the blood capillaries surrounding them.