A device that records the amount and rate of air that is breathed in and out over a period of time is called a:

The device you are referring to is called a spirometer. A spirometer is commonly used in medical settings to measure lung function. It records the volume of air inhaled and exhaled by a patient, which helps healthcare providers assess respiratory health. Spirometers can measure various parameters, including tidal volume (the amount of air breathed in and out during normal breathing), vital capacity (the maximum amount of air a person can exhale after a maximum inhalation), and forced expiratory volume (the amount of air expelled during a forced exhalation). These measurements can assist in diagnosing conditions such as asthma, chronic obstructive pulmonary disease (COPD), and other lung disorders, as well as monitoring lung health over time.