When food (at room temperature) is placed in a refrigerator, the time required for the

Chapter 0, Problem 104

(choose chapter or problem)

Why you should learn it (p. 35)

When food (at room temperature) is placed in a refrigerator, the time required for the food to cool depends on the amount of food, the air circulation in the refrigerator, the original temperature of the food, and the temperature of the refrigerator. Consider the model that gives  the temperature of food that is at \(40^\circ \mathrm F\) and is placed in a \(75^\circ \mathrm F\) refrigerator as

\(T=10\left(\frac{4 t^{2}+16 t+75}{t^{2}+4 t+10}\right)\)

where T is the temperature (in degrees Fahrenheit) and t is the time (in hours).

(a) Complete the table.

(b) What value of T does the mathematical model appear to be approaching?

Text Transcription:

40^o F

75^^o F

T=10(frac{4 t^{2}+16 t+75}{t^{2}+4 t+10})