Consider a 92∘C cup of coffee placed in a 24∘C room. Suppose it is known that the coffee cools at a rate of 2∘C/min when it is 70∘C. Then according to Newton's law of cooling, the temperature T(t) of the coffee t minutes after being placed in the room satisfies the differential equation,
What is the temperature (in Celcius) of the coffee at time t=1 min?

I tried a few methods but I am completely stumped with this questions. Can someone please show me steps on how to do it

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  1. They gave you the hint "Newton's Law of Cooling" so you do not even have to do the calculus.
    for example:

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