Need help with Newton's Law of Cooling math problem

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SUMMARY

The discussion revolves around a math problem involving Newton's Law of Cooling, specifically applied to a murder investigation scenario. The body temperature was recorded at 90.3°F at 9 AM and dropped to 89.0°F after one hour, with the ambient room temperature at a constant 68°F. The user initially calculated the time of death as 0.229 hours but questioned the validity of this result. Ultimately, the user resolved their confusion independently, indicating they found an error in their calculations.

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  • Basic knowledge of temperature measurement in Fahrenheit
  • Familiarity with solving exponential decay equations
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A detective finds a murder victim at 9 AM. The temperature of the body is measured at 90.3-degrees Fahrenheit. One hour later the temperature of the body is 89.0-degrees Fahrenheit. The temperature of the room has been maintained at a constant temperature of 68-degrees Fahrenheit. Estimate the time the murder occurs. I went through the problem and got a time of .229 hours but I'm not sure that number makes sense since shouldn't I be getting a negative number? Please help! Thank you.
 
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Nvm everyone. I was able to find my error!
 

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