Final answer:
The temperature of coffee after one hour outside in 0°C, using an exponential decay model with a cooling rate of 4.4, cannot be accurately calculated without the initial temperature. Assuming the multiple-choice answers represent temperature differences, the temperature difference may approach 0.4°C after one hour.
Step-by-step explanation:
To determine the temperature of a cup of hot coffee after being placed outside for one hour using an exponential decay model, we assume that the ambient temperature is 0°C and the continuous cooling rate is 4.4. The temperature of the coffee after one hour, represented by T(t), can be found using the exponential decay formula T(t) = T_initial * e^(-kt), where T_initial is the initial temperature of the coffee, k is the continuous rate of cooling, and t is the time in hours.
Since the coffee will approach the outside temperature, we assume the surrounding temperature is the base for the exponential decay, which means we need to calculate the change in temperature relative to the ambient temperature. Hence, if we let T(0) be the initial temperature difference from the ambient (coffee temperature - ambient temperature) and T(1) the difference after 1 hour, our equation will become T(1) = T(0) * e^(-4.4*1).
Without the initial temperature of the coffee, we can't compute an exact final temperature. Usually, T(0) would be the initial temperature difference (e.g., if the coffee was initially at 95°C, then T(0) = 95°C). Since this is missing from the question and the choices provided are temperatures and not temperature differences, it seems there's a misunderstanding. However, assuming that the choices represent temperature differences, we can use the cooling rate to estimate that the temperature difference would decrease significantly after 1 hour, approaching choice 1) 0.4°C.