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The wind chill temperature is the apparent temperature caused by the extra cooli

ID: 3038616 • Letter: T

Question

The wind chill temperature is the apparent temperature caused by the extra cooling from the wind. A rule of thumb for estimating the wind chill temperature for an actual temperature t that is above 0 Fahrenheit is W(t) = t -1.5 S0, where S0 is any given speed in miles per hour.

a. If the wind speed is 25 mph and the actual temperature is 12 degrees F, what is the wind chill temperature?

W=_______F degrees

We know how to convert Celsius to Fahrenheit; that is, we can write t=F(x), where F(x)=32 + 9/5x with x the number of degrees Celsius and F(x) the equivalent in degrees Fahrenheit.

b. Construct a function that will give the wind chill temperature as a function of degrees Celsius.

c. If the wind speed is 32 mph and the actual temperature is -25 degrees C, what is the wind chill temperature?

W= _______F Degrees

Explanation / Answer

W(t) = t - 1.50So ; S0 is any given speed in miles per hour

actual temperature t

So = 25 mph ; t = 12 degF

a) W = 12 - 1.50*25 = -25.5 degF

b) F(x) = 32 + 9x/5

W = t - 1.5So

= 32+ 9x/5 - 1.5So

W(x) = 32+ 9x/5 - 1.5So

c) W(x) = 32 + 9*(-25)/5 - 1.5*32 = 32 - 45 -48 = -61 Fdeg