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Determining equations for simple graphs

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Please provide an example in determining an equation for a simple graph by determining the equation relating T to t on the attached file.

Please use as many comments as possible.

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Solution Summary

We determine the equation corresponding to a simple graph and use it to make predictions.

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This graph resembles the hyperbola y = 1/x, so we look for a relation of the form

T = A / (t - t0),

where A and t0 are constants to be determined. To determine them, we look at a few points on the graph. For instance, when t = 0, we have
T = 50, so

(1) 50 = A / (0 - t0)
= -A / t0.

Also, when ...

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