A cake removed from the oven has a temperature of 210°F. It is left to cool in a room that has a temperature of 70°F. After 30 minutes, the temperature of the cake is 140°F. Solve, a. Use Newton’s Law of Cooling to find a model for the temperature of the cake, T, after t minutes. b. What is the temperature of the cake after 40 minutes? c. When will the temperature of the cake be 90°F?
Unitary Method
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A cake removed from the oven has a temperature of 210°F. It is left to cool in a room that has a temperature of 70°F. After 30 minutes, the temperature of the cake is 140°F. Solve,
a. Use Newton’s Law of Cooling to find a model for the temperature of the cake, T, after t minutes.
b. What is the temperature of the cake after 40 minutes?
c. When will the temperature of the cake be 90°F?
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