At 8:30 a.m., a coroner was called to the home of a person who had died during the night. In order to estimate the time of death, the coroner took the person's temperature twice. At 9:00 a.m. the temperature was 91.2°F, and at 11:00 a.m. the temperature was 87.3°F. From these two temperatures, the coroner was able to determine that the time elapsed since death and the body temperature were related by the formula T- 70 98.6 – 70 t = -10 In where t is the time in hours elapsed since the person died and T is the temperature (in degrees Fahrenheit) of the person's body. (This formula is derived from a general cooling principle called Newton's Law of Cooling. It uses the assumptions that the person had a normal body temperature of 98.6°F at death, and that the room temperature was a constant 70°F.) Use the formula to estimate the time of death of the person. (Round your answer to the nearest hour.) A.M.
At 8:30 a.m., a coroner was called to the home of a person who had died during the night. In order to estimate the time of death, the coroner took the person's temperature twice. At 9:00 a.m. the temperature was 91.2°F, and at 11:00 a.m. the temperature was 87.3°F. From these two temperatures, the coroner was able to determine that the time elapsed since death and the body temperature were related by the formula T- 70 98.6 – 70 t = -10 In where t is the time in hours elapsed since the person died and T is the temperature (in degrees Fahrenheit) of the person's body. (This formula is derived from a general cooling principle called Newton's Law of Cooling. It uses the assumptions that the person had a normal body temperature of 98.6°F at death, and that the room temperature was a constant 70°F.) Use the formula to estimate the time of death of the person. (Round your answer to the nearest hour.) A.M.
Chapter10: Exponential And Logarithmic Functions
Section10.3: Evaluate And Graph Logarithmic Functions
Problem 10.53TI: In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter...
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Transcribed Image Text:At 8:30 a.m., a coroner was called to the home of a person who had died during the night. In order to estimate the time of death, the coroner took the person's temperature
twice. At 9:00 a.m. the temperature was 91.2°F, and at 11:00 a.m. the temperature was 87.3°F. From these two temperatures, the coroner was able to determine that the time
elapsed since death and the body temperature were related by the formula
T- 70
t = -10 In
98.6 - 70
where t is the time in hours elapsed since the person died and T is the temperature (in degrees Fahrenheit) of the person's body. (This formula is derived from a general cooling
principle called Newton's Law of Cooling. It uses the assumptions that the person had a normal body temperature of 98.6°F at death, and that the room temperature was a
constant 70°F.) Use the formula to estimate the time of death of the person. (Round your answer to the nearest hour.)
A.M.
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