Concept explainers
Comparing Models A cup of water at an initial temperature of
(a) Subtract the room temperature from each of the temperatures in the ordered pairs. Use a graphing utility to plot the data points
(b) An exponential model for the data
(c)Use the graphing utility to plot the points
(d) Fit a rational model to the data. Take the reciprocals of the y-coordinates of the revised data points to generate the points
Use the graphing utility to graph these points and observe that they appear to be linear. Use the regression feature of the graphing utility to fit a line to these data. The resulting line has the form
Solve for
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