A cup of coffee is taken out of a microwave oven and
Chapter 3, Problem 12(choose chapter or problem)
A cup of coffee is taken out of a microwave oven and placed in a room. The temperature, T, in degrees Fahrenheit, of the coffee after t minutes is modeled by the function T = 70 + 130e-0.04855t . The graph of the function is shown in the fi gure. 0 10 20 30 40 50 60 T 0 t 40 80 120 160 200 240 T = 70 T = 70 + 130e0.04855t Use the graph to answer each of the following questions. a. What was the temperature of the coffee when it was fi rst taken out of the microwave? b. What is a reasonable estimate of the temperature of the coffee after 20 minutes? Use your calculator to verify this estimate. c. What is the limit of the temperature to which the coffee will cool? What does this tell you about the temperature of the room?
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