Due to atmospheric pressure, the temperature at which water will boil varies predictably with the altitude. Using special equipment designed to duplicate atmospheric pressure, a lab experiment is set up to study this relationship for altitudes up to 8000 ft. The set of data collected is shown in the table, with the boiling temperature y in degrees Fahrenheit, depending on the altitude x in feet. (a) Draw a scatterplot using scales that appropriately fit the data and sketch an estimated line of best fit, (b) decide if the association is positive or negative. (c) Choose two points on or near the estimated line of best fit, and use them to find a function model and predict the boiling point of water on the summit of Mt. Hood in Washington State (11,239 ft height), and along the shore of the Dead Sea (approximately 1312 ft below sea level). Answers may vary.
x | y |
‒1000 | 213.8 |
0 | 212.0 |
1000 | 210.2 |
2000 | 208.4 |
3000 | 206.5 |
4000 | 204.7 |
5000 | 202.9 |
6000 | 201.0 |
7000 | 199.2 |
8000 | 197.4 |
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