It takes 15 minutes for a cup of coffee at 130 F to cool to 100 F in a 70 F room. The function T that describes the amount the coffee cools after t minutes can be modeled by T(t) = Ts + (To T)ekt, where: - T(t) represents the Temperature of the coffee in degrees Fahrenheit, t represents the number of minutes after the coffee is poured and set to rest, S Ts represents the surrounding temperature in degrees Fahrenheit. To represents the initial temperature of the coffee as it is poured and set to rest, and k represents a constant. A. What is the total amount of time needed for a 130 F cup of coffee, poured and set to rest, to reach 80 F in a 70 F room? B. Over time, to what temperature does the coffee cool? Explain your reasoning. D C 2