SOLUTION: 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

Question 1146743: 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.
S =___________________
(c) Solve for T in the equation from part (b) to obtain a formula for temperature T as a linear function of speed S.
T =___________________
(d) Explain in practical terms the meaning of the slope of the function you found in part (c).
The slope of T as a linear function of S is ____________ , and this means that an increase in the speed of sound by 1 foot per second corresponds to an increase of ______________ degree in temperature.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
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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.
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Linear equation for points (T, S)
Model: S=mT+b

Given point (32, 1087.5)

b can be found:

and you can do the rest.....
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