document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183070>Question 183070</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780618851881/algebrahomeworkh>College Algebra a Graphing Approach</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1.6 #84<BR>\n" );
document.write( "Consumre Awareness. The suggested trtail price of a new car is p dollars. The dealership advertised a factory rebate of $1200 and an 8% discount.<BR>\n" );
document.write( "a. Write a function R in terms of p giving the cost of the car after receiving the rebate from the factory.<BR>\n" );
document.write( "b. Write a function S in terms of p giving the cost of the car after receiving the dealership discount.<BR>\n" );
document.write( "c. Form the composite functions (R o S)(p) and (S o R)(p) and intercept each.<BR>\n" );
document.write( "d. Find (R o S)(18,400) and (S o R)(18,400. Which yields the lower cost for the car? Explain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137444 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The suggested trtail price of a new car is p dollars. The dealership advertised a factory rebate of $1200 <BR>\n" );
document.write( "and an  8% dealership discount.<BR>\n" );
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document.write( "a. Write a function R in terms of p giving the cost of the car after receiving the rebate from the factory.<BR>\n" );
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document.write( "R(p) = p - 1200 <BR>\n" );
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document.write( "b. Write a function S in terms of p giving the cost of the car after receiving the dealership discount.<BR>\n" );
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document.write( "S(p) = p - 0.08p = 0.92p<BR>\n" );
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document.write( "c. Form the composite functions (R o S)(p) and (S o R)(p) and interpret each.<BR>\n" );
document.write( "RoS = R[S(p)] = R[0.92p] = (0.92p)-1200<BR>\n" );
document.write( "Interpretation: The 8% discount is applied 1st, then the 1200 rebate.<BR>\n" );
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document.write( "d. Find (R o S)(18,400) and (S o R)(18,400. Which yields the lower cost for the car? Explain<BR>\n" );
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document.write( "Don't recognize that notation.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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