How Does a Graph Demonstrate Newton's Law of Cooling?

AI Thread Summary
The discussion centers on how to demonstrate Newton's Law of Cooling using a graph of temperature difference over time. The user seeks clarification on what "show" entails in the context of their assignment, questioning whether it involves manipulating equations or substituting values. They are looking for guidance on how to illustrate that the rate of cooling is proportional to the temperature difference, as predicted by Newton's Law. Suggestions include drawing a suitable graph and analyzing the data to confirm the law's applicability. The conversation emphasizes the importance of visual representation in understanding the relationship described by Newton's Law of Cooling.
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Hi, I have a graph of T-TR vs. Time. These values were given to us for an assignment. However, the question then says using these values, "show" that it obeys Newton's Law of Cooling.

I can't ask my teacher because it's meant to be done on your own but show means many things to me.

Does show mean manipulate the equation from the graph to that of Newton's Law of Cooling? Does it mean that I have to substitute values into see if Newton's Law of Cooling works?

Could someone provide me with a few ideas? Thanks.
 
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Draw a suitable graph of the data.
From the graph, show that the rate of cooling is proportional to the temperature difference. (Which is what Newton's Law would predict in this case.)
 

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