Question

Calc II -
A thermometer is taken from a room where the temperature is 24 C to the outdoors, where the temperature is 9 C. After one minute the thermometer reads 11 C. Use Newton's Law of Cooling to answer the following question.
When will the thermometer read 10 C?

Answer 1

work with the difference in the temperatures

Answer 2

the initial difference is 24 - 9= 15 and after one minute the difference is 11-9=2 so it is cooling pretty damned fast

Answer 3

formula would be
\[15\times (\frac{2}{15})^t\] and you want to set this equal to 1 (because 11 - 10 = 1) and solve for t

Answer 4

\[1=15\times (\frac{2}{15})^t\]
\[\frac{1}{15}=(\frac{2}{15})^t\]
\[t=\frac{\ln(\frac{1}{15})}{\ln(\frac{2}{15})}\]

Answer 5

i get about 1.33 rounded so maybe 1.3 is your pick