document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186076>Question 186076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I had submitted this question before but it was never replied to.  Can anyone help me with this ...  I am not understanding how to complete the assignment. Thanks so much for your time and effort.<BR>\n" );
document.write( "The national cost C in billions of dollars for dental services can be modeled by the linear equation <BR>\n" );
document.write( "C = 2.85 + 30.52, <BR>\n" );
document.write( "where n is the number of years since 1990 (Health Care Financing Administration, www. hcfa.gov).<BR>\n" );
document.write( "a.)Find and interpret the C-intercept for the line <BR>\n" );
document.write( "b.)Find and interpret the n-intercept for the line <BR>\n" );
document.write( "c.)Graph the line for n ranging from 0 through 20<BR>\n" );
document.write( "d.)If this trend continues, then in what year will the cost of dental services reach 100 billion?<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 #139540 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=139540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The national cost C in billions of dollars for dental services can be modeled by the linear equation <BR>\n" );
document.write( "C(n) = 2.85n + 30.52, <BR>\n" );
document.write( "where n is the number of years since 1990 (Health Care Financing Administration, www. hcfa.gov).<BR>\n" );
document.write( "a.)Find and interpret the C-intercept for the line <BR>\n" );
document.write( "Let n = 0 and solve for C<BR>\n" );
document.write( "C(0) = 2.85*0 + 30.52<BR>\n" );
document.write( "C(0) = 30.52<BR>\n" );
document.write( "Interpret: In 1990 the cost for dental services, in billions of dollars,<BR>\n" );
document.write( "was 30.52 billion.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "C(n) = 2.85n + 30.52<BR>\n" );
document.write( "b.)Find and interpret the n-intercept for the line<BR>\n" );
document.write( "Let C(n) = 0 and solve for \"n\":<BR>\n" );
document.write( "2.85n + 30.52 = 0<BR>\n" );
document.write( "2.85n = -30.52<BR>\n" );
document.write( "n = 30.52/2.85 = -10.71<BR>\n" );
document.write( "Interpret: In the year 1990-10.71 or 1979 the cost for dental services<BR>\n" );
document.write( "was zero.<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "c.)Graph the line for n ranging from 0 through 20<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C25%2C-10%2C50%2C2.85x+%2B+30.52%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C25%2C-10%2C50%2C2.85x+%2B+30.52%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------------------------<BR>\n" );
document.write( "d.)If this trend continues, then in what year will the cost of dental services reach 100 billion?<BR>\n" );
document.write( "2.85n + 30.52 = 100<BR>\n" );
document.write( "2.85n = 69.48<BR>\n" );
document.write( "n = 24.38<BR>\n" );
document.write( "Year = 1990+24.38 = 2014+ 0.14 = 2015<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );