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

Mathematics

1 answer:

ch4aika [34]3 years ago

4 0

Answer:

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

Step-by-step explanation:

The equation representing the elapsed time, <em>m</em>, in minutes, since the coffee was left to cool, and the temperature of the coffee, <em>T</em>, 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.

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Step-by-step explanation:

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2 years ago

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