Solved: Thermostat Control Energy conservation experts

Chapter , Problem 3.5.87

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Thermostat Control Energy conservation experts estimate that homeowners can save 5 to 10 percent on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the given graph, the temperature T (in degrees Fahrenheit) of a home is given as a function of time t (in hours after midnight) over a 24-hour period. T 80 LL 76 72 68 64 E 60 4 8 12 16 20 24 Time (hours after midnight) (a) At what temperature is the thermostat set during daytime hours? At what temperature is the thermostat set (b) 111e homeowner reprograms the thermostat toy = T(t) - 2. Explain how this affects the temperaturein the house. Graph this new function.(c) The homeowner reprograms the thermostat toy = T(t + 1). Explain how this affects the temperaturein the house. Graph this new function.Source: Roger Albright, 547 Ways to be Fuel Smart, 2000.