document.write( "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.)\r
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document.write( "(a) Explain why speed S is a linear function of temperature T.
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document.write( "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.\r
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document.write( "Identify the slope of the function. ________________
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document.write( "(b) Use a formula to express S as a linear function of T.
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document.write( "S =___________________\r
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document.write( "(c) Solve for T in the equation from part (b) to obtain a formula for temperature T as a linear function of speed S.
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document.write( "T =___________________\r
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document.write( "(d) Explain in practical terms the meaning of the slope of the function you found in part (c).
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document.write( "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. \n" );
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Algebra.Com's Answer #768018 by josgarithmetic(39618)![]() ![]() ![]() You can put this solution on YOUR website! =============================== \n" ); document.write( " 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. \n" ); document.write( "==============================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Linear equation for points (T, S) \n" ); document.write( "Model: S=mT+b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Given point (32, 1087.5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b can be found: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and you can do the rest..... \n" ); document.write( " |