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In 1701, Issac Newton proved his Law of Cooling: T(t) =Aekt +Ta, which is an exponential...

In 1701, Issac Newton proved his Law of Cooling: T(t) =Aekt +Ta, which is an exponential model that relates the temperature of an object T as a function of time t (we will use minutes) that is placed in an environment with ambient temperature Ta.

Suppose a cup of hot coffee is served at 160◦F and placed in a room with an ambient temperature 75◦. After 5 minutes, the cup of coffee has a temperature of 131◦F.

a) Create a model using the Newton’s Law of Cooling template.

b) What will be the temperature of the coffee after 12 minutes?

c) How long until the coffee reaches 77◦F?

Math   Precalculus   
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