Speed of sound: The speed of sound in air changes with the temperature. When the temperature T is 32 degrees Fahrenheit, the speed S of sound is 1087.5 feet per second. For each degree increase in temperature, the speed of sound increases by 1.1 feet per second.
a. Explain why speed S is a linear function of temperature T. Identify the slope of the function.
b. Use a formula to express S as a linear function of T.
c. Solve for T in the equation from part b to obtain a formula for temperature T as a linear function of speed S.
d. Explain in practical terms the meaning of the slope of the function you found in part c.
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