Question Consider two identical pans containing the same amount of water that have been heated to different temperatures and then left to cool. Pan 1 was left undisturbed on the countertop, and pan 2 was left undisturbed outside.

The temperature of pan 1 can be modeled by the function T1(t)=75+130e−0.055t where T1(t) represents the temperature of the water, in degrees Fahrenheit (℉) , t minutes after it starts to cool.

The temperature of pan 2 can be modeled by the graph shown where T2(t) represents the temperature of the water, in degrees Fahrenheit (℉) , t minutes after it starts to cool.

Which pan of water had a higher initial temperature? Explain your reasoning.