During the winter, the amount of heat the body loses depends on both the actual temperature and the speed of the wind. For example, if the actual temperature is 25°F and the wind is blowing at 15 miles per hour, a person feels as cold as she would if the temperature were 2°F with no wind. Meteorologists use the term “wind chill” to describe this phenomenon. The following table relates the wind speed W (in miles per hour) to the wind chill C (in °F) when the actual temperature is 15°F.
W (miles per hour) | 5 | 10 | 15 | 35 |
C (ºF) | 12 | –3 | –11 | –27 |
a. Fit these data with a logarithmic function of the form C = a + b lnW.
b. Use your model to predict the wind chill when the wind speed is 45 miles per hour. (Since wind speeds greater than 45 miles per hour have little additional chilling effect, this is. at least theoretically, as cold as you can be when the temperature is 15°F)
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