The speed of sound in air changes with temperature. When the temperature is 39 degrees Fahrenheit, the speed of sound is 1095.2 feet per second. For each degree increase in temperature, the speed of sound increases by 1.1 feet per second.

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A:  Explain why the speed , in feet per second, is a linear function of the temperature , in degrees Fahrenheit.
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B:  Use a formula to express  as a linear function of .
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C:  What temperature corresponds to a speed of sound of 1143.2 feet per second?

What will be an ideal response?


A:  Now  is a linear function of  because each one degree change in temperature always results in the same change, 1.1 feet per second, in the speed of sound.

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B:

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C:   82.636363636363711 degrees Fahrenheit


Mathematics

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