Question

After being poured into a cup coffee cools so that its temperature T(t) is represented by the function T(t)=70+110 e^(-t/2) where t is measured in minutes and T(t) is measured in degrees Fahrenheit. What is the average temperature of the coffee during the first four minutes after being poured

Answer 1

T(t)=70+110e^(-t/2)

After 4 minutes, t= 4

Substituting in the temperature equation,

T(4 minutes) = 70+110e^(-4/2)=70+110e^(-2) = 84.89 oF