Question
During the winter, a smart thermostat is set to adjust the temperature on a 24-hour cycle. It is
programmed to reach a maximum of 69°F at 9PM, and a minimum of 61°F at 9AM. Let T(t) be the
thermostat setting t hours after midnight.
(a) Find a possible formula for T(t).
(b) At what times throughout the day is the thermostat set to 66°F?
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Transcribed Image Text

During the winter, a smart thermostat is set to adjust the temperature on a 24-hour cycle. It is programmed to reach a maximum of 69°F at 9PM, and a minimum of 61°F at 9AM. Let T(t) be the thermostat setting t hours after midnight. (a) Find a possible formula for T(t). (b) At what times throughout the day is the thermostat set to 66°F?