Final answer:
The term for an increase in both the rate and depth of breathing is hyperpnea, which occurs when the body needs more oxygen, like during exercise, and differs from hyperventilation that affects blood gas levels.
Step-by-step explanation:
The term for an increase in both the rate and depth of breathing is hyperpnea. This condition typically occurs in response to an increase in oxygen demand, such as during exercise or in certain diseases. Unlike hyperventilation, which is an increased ventilation rate that leads to abnormally low blood carbon dioxide levels and high blood pH, hyperpnea does not significantly alter blood oxygen or carbon dioxide levels but matches the increased oxygen needs of the cells.