The temperature difference between the temperature of coffee in a cup and the te

Question

The temperature difference between the temperature of coffee in a cup and the temperature of the room in which the cup is sitting decreases at a constant relative rate determined by the insulating properties of the cup. Assume that initially the coffee is 83 degrees Fahrenheit warmer than room temperature and that this temperature difference will decrease at a rate of 3.6 percent per minute.

1) What is the formula for the temperature difference f (t) between the coffee and the room after t minutes. f(t) = ?

2) What will the temperature difference between the coffee and the room be after 11 minutes?

Explanation / Answer

temperature difference will decrease by 3.6 percent after every minute

so f(t)=83*(1-0.036t)

2).f(t)=83/(1+0.0036)^11

=56.25 fahrenhite

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