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. (Round your answers to two decimal places.) (a) Explain why speed S is a linear function of temperature T. Because S always increases by 1.1 when T increases by  , S has a constant rate of change and is a linear function of T. Identify the slope of the function. (b) Use a formula to express S as a linear function of T.

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