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​Suppose you bought a cup of coffee each morning on your way to school. You wish...

Suppose you bought a cup of coffee each morning on your way to school. You wish to drink the coffee when you reach your class and have time to settle down which is about 30 minutes from the time of purchase. You like to add cream to your coffee, but you still want the coffee to be as hot as possible after those thirty minutes. Therefore, should you add the cream at the time of purchase or after about 15 minutes? (You have a cooler to chill the cream, so it is the same temperature no matter when you add it.) Remember, the coffee should be as hot as possible after 30 minutes.

What do you predict? Will the coffee be hotter if you add the cream earlier or if you add it later? What is the reason for your prediction

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