The temperature of liquid cooling in a cup at room temperature (68F) was measured at various times. The data are given next. Time t(sec) Temperature T(F) 0 178 500 150 1000 124 1500 110 2000 97 2500 90 3000 82 Develop a model of the liquid temperature as a function of time, and use it to estimate how long it will take the temperature to reach 135F. Note that this system follows the same exponential decay behavior of the heat coefficient estimation problem discussed in class.