Mathematics, 09.06.2021 20:50 shayambros
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+130eβ0.055t where T1(t) represents the temperature of the water, in degrees Fahrenheit (β) , 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 (β) , t minutes after it starts to cool.
Which pan of water had a higher initial temperature? Explain your reasoning.
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