nitially at 50 ° F, which is placed in a 375 °F oven at 5:00 PM. After 75 min it is observed that the temperature of the roast {\ small T (t)} is 125 °F. When will the roast be at 150 ° F (medium done)?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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According to Newton's law of cooling, the rate of change of temperature in time {\ small T (t)} of a body immersed in a medium of constant temperature {\ small A} is proportional to the difference {\ small A - T}. This is: {\ small \ frac {dT} {dt} = k (A-T)} where {\ small k} is a positive constant. In this context, consider a 4 lb roast initially at 50 ° F, which is placed in a 375 °F oven at 5:00 PM. After 75 min it is observed that the temperature of the roast {\ small T (t)} is 125 °F. When will the roast be at 150 ° F (medium done)?

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