Sierra A.

asked • 03/07/19

Do you know how to solve this?

A cake recipe says to bake the cake until the center is 180°​F, then let the cake cool to 100°F. The table shows temperature readings for the cake.


  1. Given a room temperature of 69​​°​F, what is an exponential model for this data set?
  2. How long does it take the cake to cool to the desired​ temperature?
Time​ (min) Temp(​​°​F)
​0 180
5 125
10 93
15 80
20 72

Paul M.

tutor
I have played with this table for quite a long time & cannot get an answer. The question suggests that the rate of temperature loss is proportional to the difference between cake temperature and room temperature, but I do not know that for sure. I would suggest that you try a least squares fit to an exponential of cake temperature-69 against time..but that is just a suggestion. I wold be interested to know what the answer is when you get it in class.
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03/07/19

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