The Celsius temperature of a hot potato placed in a room is given by the function T = 68* 2^{- .0038 t} + 15 , where t is clock time in seconds and T is temperature in Celsius.  

• At what average rate is the temperature of the potato changing between clock times t = 17.1 and t = 17.2 seconds seconds? 
• At what average rate is the temperature of the potato changing between clock times t = 17.1 and t = 17.11 seconds? 
• At what average rate is the temperature of the potato changing between clock times t = 17.1 and t = 17.101 seconds? 
• What do you estimate is the rate at which temperature is changing at clock time t = 17.1 seconds?

The rate at which the Celsius temperature of a hot potato placed in a room is given by Rate = .041 * 2^{- .0038 t}, where R is rate of change in Celsius degrees per second and t is clock time in seconds.  How much temperature change do you estimate would occur between t = 17.1 and t = 34.2 seconds?