# If data for the decrease in °C of coffee every 10 minutes is given, how can create a formula for temp without using Newton’s law of cooling?

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Plot log(temperature) versus time. If that’s a straight line with slope -a then you have

T(t) = T(0) exp(-at)

So then Newton’s law of cooling is a result, not an assumption.

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• Use a spreadsheet pgm that will not only plot the points into a graph but will also find a formula for the plotted points.

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• Look at the numbers and decide which type of curve would look best, then adapt the paremeters to fit to the curve.

You could create any kind of formula - even a linear one - but with a little bit of background knowledge about how cooling works, you'll guess that its a (simple linear) differential equation, for which the default approach would be to fit an exponential.

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• plot the temperatures on a graph and attempt to find a formula that matches the graph.

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