document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78140>Question 78140</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321334337/algebrahomeworkh>MATHEMATICS: APPLICATIONS</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> PROBLEM 23---BUSINESS APPLICATION\r<BR>\n" );
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document.write( "THE YEARLY SPENDING (IN BILLIONS OF DOLLARS) BY US ADVERTISERS TO PROMOTE PRODUCTS TO LATINOS IS SHOWN IN THE TABLE:::***\r<BR>\n" );
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document.write( "        YEAR  |  SPENDING<BR>\n" );
document.write( "        ______|____________<BR>\n" );
document.write( "         2000 |  2.1<BR>\n" );
document.write( "         2001 |  2.2<BR>\n" );
document.write( "         2002 |  2.5<BR>\n" );
document.write( "         2003 |  2.8<BR>\n" );
document.write( "         2004 |  3.1\r<BR>\n" );
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document.write( "  (A) LET   X = 0 CORRESPOND TO 2000.  USE (0, 2.1) AS THE VERTEX AND THE DATA FROM 2004 TO FIND THE QUADRATIC FUNCTION g (x) = a( x-h)2 (**note: the 2 here is an exponet 2)+ k that models this data.\r<BR>\n" );
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document.write( "   (B) USE THE MODEL TO ESTIMATE ADVERTISER'S SPENDING IN 2006 AND 2008.\r<BR>\n" );
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document.write( "***NOTE: I WANT TO CLARIFY THAT I COULDN'T WRITE QUADRATIC EXPRESSION WITH THE APPROPIATE OR CORRECT SYMBOLS IN THE SPACE PROVIDED BECAUSE THE SCREEN DOESN'T LET CUT & PASTE OR EDIT LIKE A WORD PROCESSOR, ETC..(EX. THE NUMBER 2 AFTER THE a(X-h) PARENTHESIS AN EXPONENT AND NOT A WHOLE NUMBER. THANK YOU<BR>\n" );
document.write( "         </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56082 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=56082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> YEAR | SPENDING<BR>\n" );
document.write( "______|____________<BR>\n" );
document.write( "2000 | 2.1<BR>\n" );
document.write( "2001 | 2.2<BR>\n" );
document.write( "2002 | 2.5<BR>\n" );
document.write( "2003 | 2.8<BR>\n" );
document.write( "2004 | 3.1 <BR>\n" );
document.write( "(A) LET X = 0 CORRESPOND TO 2000. USE (0, 2.1) AS THE VERTEX AND THE DATA FROM 2004 TO FIND THE QUADRATIC FUNCTION g (x) = a( x-h)2 (**note: the 2 here is an exponent 2)+ k that models this data.<BR>\n" );
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document.write( "Using the Quadratic Ression program on a TI calculator I get<BR>\n" );
document.write( "this quadratic equation: spending = 0.0285714286(year)^2+0.1457142857(year)+<BR>\n" );
document.write( "2.077142857<BR>\n" );
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document.write( "(B) USE THE MODEL TO ESTIMATE ADVERTISER'S SPENDING IN 2006 AND 2008<BR>\n" );
document.write( "The spending in 2006 is 3.98<BR>\n" );
document.write( "The spending in 2008 is 5.0714<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
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