The differential equation below models the temperature of an 87°C cup of coffee in a 23°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 73°C. Solve the differential equation to find an expression for the temperature of the coffee at time t. (Let y be the temperature of the cup of coffee in °C, and let t be the time in minutes, with t = 0 corresponding to the time when the temperature was 87°C.)

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hunterkerlin20p3l6ff

19.08.2021

Mathematics

$3 \frac{17}{20}$

Step-by-step explanation:

$1 \frac{3}{8} \times 2 \frac{4}{5}$

$= \frac{11}{8} \times \frac{14}{5}$

$= \frac{154}{40}$

Reduce both the numerator and denominator by 2.

$= \frac{77}{20}$

Now express it into mixed fraction.

$= 3 \frac{17}{20}$

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