A cup of coffee cools according to the equation #T(t)=65(1/2)^(t/22)#, where T is the temperature in degree celcius after t minutes. How do you determine the temperature of the coffee after 30 minutes?

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Answer 1 · 2017-06-22T14:27:20

The temperature is #25.26^@C#

Just say that #t = 30#.

#T(30) = 65(1/2)^(30/22)#

#T(30) ~~ 25.26^@ C#

Hopefully this helps!