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Problem 20 Easy Difficulty

You place a frozen pie in an oven and bake it for an hour. Then you take it out and let it cool before eating it. Describe how the temperature of the pie changes as time passes. Then sketch a rough graph of the temperature of the pie as a function of time.

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Video Transcript

all right, so we're going to draw the graph of and explain what's happening with the temperature of the pie as it goes through these different stages. So we start out with a frozen pie at time. Zero. So let's say that the temperature is whatever the frozen temperature is, and then we put it into the oven, and so the temperature of the pie is going to be increasing rapidly until it gets to oven temperature. And then it's going to stay at oven temperature for a while while it's baking. Once it's done baking and it goes out on the counter to cool, the temperature is going to decrease for a while until it's done cooling, and then it's going to stay at room temperature and it's going to be eaten.