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A Deeper Look at Exponential Functions

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Now that you have reviewed an exponential model, let’s look at another exponential data set.

image of marissa in the kitchenMarissa has expanded her science fair project to include an experiment where she examines the rate of change of the temperature of a hot cup of coffee. To collect data for her project, Marissa places a hot cup of coffee in a room that is 60 degrees Fahrenheit. She then records the temperature of the coffee every five minutes during a 30-minute period of time.



Time (in minutes)

Temperature of Coffee Sample (in degrees Fahrenheit)

0

195

5

160

10

134

15

115

20

101

25

90

30

82

Create and Analyze

Examine the graph of the data:

This graph is a scatter plot displaying the temperatures of a cup of coffee as it cools over the period of thirty minutes. The graph is titled ‘Coffee Temperatures.’ The horizontal axis is labeled ‘Time (in minutes)’ and extends from negative 5 to 32. The vertical axis is labeled ‘Temperature (in degrees Fahrenheit)’ and extends from negative 20 to 240. The graph displays the following ordered pairs: (0, 195), (5, 160), (10, 134), (15, 115), (20, 101), (25, 90), and (30, 82).

Check Your Understanding

 

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