The temperature inside my freezer is –15°C and the room temperature in my kitchen is a constant 20 ºC. At 1 PM one afternoon the power goes off during an ice storm and the freezer’s internal temperature T(t) rises as follows for the next few hours:
Time (PM) | 1 | 2 | 3 | 4 | 5 |
Temperature (º C) | –15.0 | –13.3 | –11.7 | –10.1 | –8.7 |
a. Assuming that u(t) = 20 – T(t) is an exponentially declining function, find the best fit of the form T(t) = 20 – a • e–kt.
b. The food in the freezer will begin to thaw once the temperature hits 0°C. When will this occur?
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