Math Question
![You place a cup of \( 200^{\circ} \mathrm{F} \) coffee on a table in a room that is \( 67^{\circ} \mathrm{F} \), and 10 minutes later, it is \( 195^{\circ} \mathrm{F} \). Approximately how long will it be before the coffee is \( 180^{\circ} \mathrm{F} \) ? Use Newton's law of cooling:
\[
T(t)=T_{A}+\left(T_{0}-T_{A}\right) e^{-k t}
\]
A. 15 minutes
B. 35 minutes
C. 43 minutes
D. 1 hour](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/10/7e2fbad8-7bb7-44de-8abd-515dff0cd20f.png "You place a cup of \( 200^{\circ} \mathrm{F} \) coffee on a table in a room that is \( 67^{\circ} \mathrm{F} \), and 10 minutes later, it is \( 195^{\circ} \mathrm{F} \). Approximately how long will it be before the coffee is \( 180^{\circ} \mathrm{F} \) ? Use Newton's law of cooling:
\[
T(t)=T_{A}+\left(T_{0}-T_{A}\right) e^{-k t}
\]
A. 15 minutes
B. 35 minutes
C. 43 minutes
D. 1 hour")
Solution
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