The temperature adjusted for wind chill is a temperature that tells you how cold it feels, as a result of the combination of wind speed, w, in miles per hour, and actual temperature, T, as measured by a thermometer in degrees Fahrenheit. The table below shows the temperature adjusted for wind chill, f(w,T), as a function of w and T. The left column of the table gives the wind speed in miles per hour, the top row gives the actual temperature in degrees Fahrenheit, and the remaining entries give the temperature adjusted for wind chill in degrees Fahrenheit as a function of wind speed and actual temperature.
Table of windchills.| w\T | 20 | 15 | 10 | 5 | 0 | -5 | -10 | -15 |
| 5 | 13 | 7 | 1 | -5 | -11 | -16 | -22 | -28 |
| 10 | 9 | 3 | -4 | -10 | -16 | -22 | -28 | -35 |
| 15 | 6 | 0 | -7 | -13 | -19 | -26 | -32 | -39 |
| 20 | 4 | -2 | -9 | -15 | -22 | -29 | -35 | -42 |
| 25 | 3 | -4 | -11 | -17 | -24 | -31 | -37 | -44 |
(a) Estimate and give a practical interpretation.
If the wind is blowing mph and the actual temperature is degrees Fahrenheit,
it will feel degrees Fahrenheit colder for each 1 mph increase in wind speed.
(b) Estimate and give a practical interpretation.
If the wind is blowing mph and the actual temperature is degrees Fahrenheit,
it will feel degrees Fahrenheit warmer for each 1 degree Fahrenheit increase in actual temperature.
You can earn partial credit on this problem.