Food usually begins to become dangerous when it becomes cool enough to be habitable for bacteria. Surrena's turkey was taken out of the oven and place in a room with ambient temperature 75°F at 1:00pm; at this time, it had an internal temperature of 180.0°F. By 1:05pm, the turkey's internal temperature had dropped to 176.3°F. (a) Assuming that the turkey cooled according to Newton's Law of Cooling, write a formula that gives the turkey's internal temperature t minutes after it was pulled from the oven. (b) Various cookbooks recommend that a turkey be carved approximately 10 minutes after it is pulled from the oven. What would have been the temperature of the turkey at this time? (c) At what time did the turkey's internal temperature drop to 120°F?
Food usually begins to become dangerous when it becomes cool enough to be habitable for bacteria. Surrena's turkey was taken out of the oven and place in a room with ambient temperature 75°F at 1:00pm; at this time, it had an internal temperature of 180.0°F. By 1:05pm, the turkey's internal temperature had dropped to 176.3°F. (a) Assuming that the turkey cooled according to Newton's Law of Cooling, write a formula that gives the turkey's internal temperature t minutes after it was pulled from the oven. (b) Various cookbooks recommend that a turkey be carved approximately 10 minutes after it is pulled from the oven. What would have been the temperature of the turkey at this time? (c) At what time did the turkey's internal temperature drop to 120°F?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
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3. Food usually begins to become dangerous when it becomes cool enough to be habitable for bacteria. Surrena’s turkey was taken out of the oven and place in a room with ambient temperature 75oF at 1:00pm; at this time, it had an internal temperature of 180.0oF. By 1:05pm, the turkey’s internal temperature had dropped to 176.3oF.
(a) Assuming that the turkey cooled according to Newton’s Law of Cooling, write a formula that gives the turkey’s internal temperature t minutes after it was pulled from the oven.
(b) Various cookbooks recommend that a turkey be carved approximately 10 minutes after it is pulled from the oven. What would have been the temperature of the turkey at this time?
(c) At what time did the turkey’s internal temperature drop to 120oF?
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