At noon, the temperature (degrees C) in your dorm room is modeled by the equation y...

 

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At noon, the temperature (degrees C) in your dorm room is modeled by the equation y = 20. This model works for the first 15 minutes (0 ≤x< 15). At 12:15, the heater breaks down. The change in temperature in the is modeled by the equation: y-5=- -(x-60). This model works for the next 15 minutes (15 sxs 30). At 12:30, the heater is fixed. The temperature rises for the next 30 minutes (30 < x≤ 60) according to the equation: y=x+10 until it reaches the same temperature it was at 12 noon. Graph this function Write a piecewise function to models the temperature T at time, x. t(x) = Now evaluate this piecewise function and explain the meaing of each a. What is the initial temperature of the room (temperature at x = 0)? b. t(8) - C. (15)= x t(x) d. What is the temperature of the room at 12:20 (temperature at x = 20)? e. t(40) = f. r(e) - 15 g. When does the temperature of the room rise back up to 20 deg C? h. When is the temperature of the room 30 deg C At noon, the temperature (degrees C) in your dorm room is modeled by the equation y = 20. This model works for the first 15 minutes (0 ≤x< 15). At 12:15, the heater breaks down. The change in temperature in the is modeled by the equation: y-5=- -(x-60). This model works for the next 15 minutes (15 sxs 30). At 12:30, the heater is fixed. The temperature rises for the next 30 minutes (30 < x≤ 60) according to the equation: y=x+10 until it reaches the same temperature it was at 12 noon. Graph this function Write a piecewise function to models the temperature T at time, x. t(x) = Now evaluate this piecewise function and explain the meaing of each a. What is the initial temperature of the room (temperature at x = 0)? b. t(8) - C. (15)= x t(x) d. What is the temperature of the room at 12:20 (temperature at x = 20)? e. t(40) = f. r(e) - 15 g. When does the temperature of the room rise back up to 20 deg C? h. When is the temperature of the room 30 deg C