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
\n" ); document.write( "\n" ); document.write( "(a) Explain why speed S is a linear function of temperature T.
\n" ); 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
\n" ); document.write( "\n" ); document.write( "Identify the slope of the function. ________________
\n" ); document.write( "
\n" ); document.write( "(b) Use a formula to express S as a linear function of T.
\n" ); document.write( "S =___________________\r
\n" ); document.write( "\n" ); 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.
\n" ); document.write( "T =___________________\r
\n" ); document.write( "\n" ); document.write( "(d) Explain in practical terms the meaning of the slope of the function you found in part (c).
\n" ); 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" ); document.write( "

Algebra.Com's Answer #768018 by josgarithmetic(39618)\"\" \"About 
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( "\"m=1.1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b can be found:
\n" ); document.write( "\"b=S-mT\"\r
\n" ); document.write( "\n" ); document.write( "\"b=1087.5-1.1%2A32\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and you can do the rest.....
\n" ); document.write( "
\n" );