document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120282>Question 120282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The national cost C in billions of dollars for dental services can be modeled by the linear equation C=2.85n +30.52 where n is the number of years since 1990. A)Find and interpret the C-intercept for the line B)Find and interpret the n-intercept for the line C) Graph the line for n ranging from 0 through 20 D) If this trend continues, then in what year will the cost of dental services reach 100 billion? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88155 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=88155\">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 C(n)=2.85n +30.52 where n is the number of years since 1990. <BR>\n" );
document.write( "A)Find and interpret the C-intercept for the line:(0,30.52)<BR>\n" );
document.write( "In 1990 the cost was 30.52 billion.<BR>\n" );
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document.write( "B)Find and interpret the n-intercept for the line<BR>\n" );
document.write( "0 = 2.85n+30.52<BR>\n" );
document.write( "n = -30.52/2.85 = -10.71<BR>\n" );
document.write( "The cost was zero in 1990-10.71= 1979 (rounded-off answer)<BR>\n" );
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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-5%2C25%2C-5%2C80%2C2.85x%2B30.52%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C25%2C-5%2C80%2C2.85x%2B30.52%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "D) If this trend continues, then in what year will the cost of dental services reach 100 billion? <BR>\n" );
document.write( "100 = 2.85n+30.52<BR>\n" );
document.write( "2.85n = 69.48<BR>\n" );
document.write( "n = 24.38<BR>\n" );
document.write( "Year = 1990+24.38 = 2015<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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