Final answer:
To write an initial value problem for the temperature of the coffee in Fahrenheit at time in minutes, you can use the formula T(t) = T0 + Ce^-kt, where T(t) is the temperature of the coffee at time t, T0 is the initial temperature, C is the unknown constant, and k is the rate of change of temperature.
Step-by-step explanation:
To write an initial value problem for the temperature of the coffee in Fahrenheit at time in minutes, we need to use the formula:
T(t) = T0 + Ce-kt
where T(t) is the temperature of the coffee at time t, T0 is the initial temperature, C is the unknown constant, and k is the rate of change of temperature. The rate of change of temperature can be determined by the rate of heat transfer through evaporation.