In 1941, explorers Paul Siple and Charles Passel discovered that the amount of heat lost when an object is exposed to cold air depends on both the temperature of the air and the velocity of the wind. They developed the Wind Chill Index as a way to measure the danger of frostbite while doing outdoor activities. The wind chill can be calculated as follows:

where V is the wind speed in miles per hour and T is the temperature in Fahrenheit for wind speeds between 4 and 45 mph.

(a) Find the wind chill for a wind speed of 20 mph and 10°F.
(b) If a weather report indicates that the wind chill is -25°F and the actual outdoor temperature is 5°F, use a graphing calculator to find the corresponding wind speed to the nearest mile per hour.
(c) Find W_V(20, 10) and W_T(20, 10) and interpret.
(d) Using the table command on a graphing calculator or a spreadsheet, develop a wind chill chart for various wind speeds and temperatures.

Transcribed Image Text:

W(V, T) = 91.4 - (10.45 + 6.69VV - 0.447V)(91.4 – T) 22