Newton's law of cooling says that the rate at which a body cools is proportional to the difference in temperature between the body and an environment into which it is introduced. This leads to an equation where the temperature i(t) of the body at time t after being introduced into an environment having constant temperature To is f(t) = To + Cek, where C and k are constants. If C= 100, k=0.4, and t is time in minutes, how long will it take a hot cup of coffee to cool to a temperature of 26"C in a room at 21'C? minutes are required to cool the cup of coffee. [Round to the nearest tenth as needed.)