A baker records the internal temperature of a pie that has been left to cool on a counter. The room temperature is 21°C. An equation that models this situation is ?(?) = 70(0.5)t/9+21 where T is the temperature in degrees Celsius and t is the time in minutes.  a) Determine the temperature, to the nearest degree, of the pie after 12 minutes.  b) How much time did it take for the pie to reach an internal temperature of 42°C?   c) Determine the equation of the asymptote(s) of the function.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A baker records the internal temperature of a pie that has been left to cool on a counter. The room temperature is 21°C. An equation that models this situation is ?(?) = 70(0.5)t/9+21
where T is the temperature in degrees Celsius and t is the time in minutes. 

a) Determine the temperature, to the nearest degree, of the pie after 12 minutes.
 b) How much time did it take for the pie to reach an internal temperature of 42°C? 
 c) Determine the equation of the asymptote(s) of the function. 

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