A control circuit dynamically controls how often temperature readings are received from a communication device such as an RFID tag having an integral temperature sensor. The communication device can be disposed to monitor an internal temperature of, for example, a delivery container. By one approach the control circuit dynamically controls how often the temperature readings are received as a function, at least in part, of local conditions for the delivery container. By one approach the aforementioned local conditions pertain to the contents of the delivery container. Examples in these regards include a temperature-based state of the contents, a volume-based metric of the contents, and mass-based metrics of the contents. By another approach, in lieu of the foregoing or in combination therewith, the aforementioned local conditions can pertain to ambient conditions as regards the delivery container.