Temperature scales in degrees Celsius and Fahrenheit are related linearly. Useful temperature data is that 100...

 

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Temperature scales in degrees Celsius and Fahrenheit are related linearly. Useful temperature data is that 100 degrees Celsius corresponds to 212 degrees Fahrenheit (water boils) and 0 degrees Celsius corresponds to 32 degrees Fahrenheit (water freezes). It can be readily computed that to convert a temperature from the Celsius to Fahrenheit scale, one may use the following function: g(x) = 1.8x + 32, where x is in degrees Celsius. Answer the following: (a) Determine the Fahrenheit reading when it is 70 degrees Celsius. (b) Wind chill temperature is a measure of how cold it actually feels on human skin, when outdoor temperature combines with the cooling effect of wind. The formula depends on the ambient temperature T (in degrees Fahrenheit) and the wind velocity (in miles per hour). If the wind velocity is held constant at 16 miles per hour, the formula for wind chill temperature becomes the linear function (T) = 1.2787 T + 91.4503. Compute the composition f.g: (e) Given that we can convert a temperature reading in degrees Celsius to Fahrenheit via the function g, what does the composition f.g represent? The wind chill input is converted to actual temperature in degrees Celsius. The wind chill input in degrees Fahrenheit is converted to the wind chill in degrees Celsius. The temperature input in degrees Fahrenheit is converted to wind chill in degrees Celsius. The wind chill input in degrees Celsius is converted to the wind chill in degrees Fahrenheit. The temperature input in degrees Celsius is converted to the wind chill in degrees Fahrenheit. Temperature scales in degrees Celsius and Fahrenheit are related linearly. Useful temperature data is that 100 degrees Celsius corresponds to 212 degrees Fahrenheit (water boils) and 0 degrees Celsius corresponds to 32 degrees Fahrenheit (water freezes). It can be readily computed that to convert a temperature from the Celsius to Fahrenheit scale, one may use the following function: g(x) = 1.8x + 32, where x is in degrees Celsius. Answer the following: (a) Determine the Fahrenheit reading when it is 70 degrees Celsius. (b) Wind chill temperature is a measure of how cold it actually feels on human skin, when outdoor temperature combines with the cooling effect of wind. The formula depends on the ambient temperature T (in degrees Fahrenheit) and the wind velocity (in miles per hour). If the wind velocity is held constant at 16 miles per hour, the formula for wind chill temperature becomes the linear function (T) = 1.2787 T + 91.4503. Compute the composition f.g: (e) Given that we can convert a temperature reading in degrees Celsius to Fahrenheit via the function g, what does the composition f.g represent? The wind chill input is converted to actual temperature in degrees Celsius. The wind chill input in degrees Fahrenheit is converted to the wind chill in degrees Celsius. The temperature input in degrees Fahrenheit is converted to wind chill in degrees Celsius. The wind chill input in degrees Celsius is converted to the wind chill in degrees Fahrenheit. The temperature input in degrees Celsius is converted to the wind chill in degrees Fahrenheit.