Elementary Func./Calc I				Name__________________				
Newtons Law of Cooling

Room Temperature at the time of experiment     73 F
A)	Use the table below to record values of time and temperature.

 Time(min)	   Temp(F)	
         0	      159.3	
         6	      153.8	

B)  	Notice the graph is exponential.  Where would the asymptote be found on your graph?  Why?

C)  	Find an exponential equation for the data.  
Remember, the temperature will approach room temperature(not zero).  Note: carry as many decimal places as possible to make the equations most accurate. Be sure to use an ordered pair somewhere in the middle of the experiment in order to get an accurate shape for the graph.  Test the accuracy of your equation by placing it into the graphing calculator.  Does it approach the correct asymptote?

D)  	Mr. Novak is in a hurry to get to work in the morning and likes a cup of coffee before he goes.  Find how long it takes boiling water( 212°F) to cool to 155°F  (drinkable).   Once the coffee is drinkable, how long until it is too cold to drink(95°F) Note: Assume the cup is in a room at “room temperature” (70°F) and that water cools exponentially at a rate (b) or (k) determined from our experiment in part C.  SHOW WORK!