On a 40∘F day, a 25 mile per hour (mph) wind creates a wind chill of 29∘F. To approximate the wind chill at various temperatures caused by a 25mph wind, Elon uses the following rule: take 24 less than 34 of the air temperature (∘F). If a 25mph wind creates a wind chill of −5∘F, which of the following best approximates the corresponding air temperature?Choose 1 answer:(A) −30.7∘F(B) 14.3∘F(C) (mph)0(D) (mph)1
Q. On a 40∘F day, a 25 mile per hour (mph) wind creates a wind chill of 29∘F. To approximate the wind chill at various temperatures caused by a 25mph wind, Elon uses the following rule: take 24 less than 34 of the air temperature (∘F). If a 25mph wind creates a wind chill of −5∘F, which of the following best approximates the corresponding air temperature?Choose 1 answer:(A) −30.7∘F(B) 14.3∘F(C) (mph)0(D) (mph)1
Understand Wind Chill Rule: Understand the wind chill approximation rule given by Elon.The rule is to take 24 less than (34) of the air temperature (°F).Mathematically, this can be represented as:Wind chill = (34)× Air temperature −24
Set Up Equation: Set up the equation using the wind chill value provided in the problem.We are given that the wind chill is −5°F, so we plug this value into the equation:−5=34×Air temperature−24
Solve for Temperature: Solve for the air temperature.First, add 24 to both sides of the equation to isolate the term with the air temperature:−5+24=(34)×Air temperature19=(34)×Air temperature
Multiply by Reciprocal: Multiply both sides of the equation by the reciprocal of (34) to solve for the air temperature.Air temperature = 19×(43)Air temperature = 457Air temperature = 14.25
Match to Answer Choice: Match the calculated air temperature to the closest answer choice.The calculated air temperature is 14.25°F, which is closest to answer choice (B) 14.3°F.
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