The temperature of liquid cooling in a cup at room temperature (68oF) 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 135°F.