Question

A cup of hot coffee has been left to cool in a room with an ambient temperature of 21°C.

Answer 1

Answer:

The temperature of the coffee after 10 minutes will be 21.27°C.

Step-by-step explanation:

The equation representing the elapsed time, m, in minutes, since the coffee was left to cool, and the  temperature of the coffee, T, measured in °C is:

$T(m)=21+74.10^{-0.03 m}$

Compute the temperature of the coffee after 10 minutes as follows:

$T(10)=21+74.10^{-0.03 \times 10}$

          $=21+0.274824\\=21.274824\\\approx 21.27^{o}\ C$

Thus, the temperature of the coffee after 10 minutes will be 21.27°C.