document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195543>Question 1195543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 1990, the cost of tuition at a large Midwestern university was $102 per credit hour. In 1999, tuition had risen to $237 per credit hour.<BR>\n" );
document.write( "Determine a linear function  <BR>\n" );
document.write( "C<BR>\n" );
document.write( "(<BR>\n" );
document.write( "x<BR>\n" );
document.write( ")<BR>\n" );
document.write( "  to represent the cost of tuition as a function of  <BR>\n" );
document.write( "x<BR>\n" );
document.write( " , the number of years since 1990.\r<BR>\n" );
document.write( "\n" );
document.write( "C<BR>\n" );
document.write( "(<BR>\n" );
document.write( "x<BR>\n" );
document.write( ")<BR>\n" );
document.write( "=<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "In the year 2005, tuition will be $ <BR>\n" );
document.write( " per credit hour.<BR>\n" );
document.write( "In the year <BR>\n" );
document.write( ", tuition will be $357 per credit hour </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828063 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> straight line equation is y = mx + b<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.<BR>\n" );
document.write( "1990 is the base year.<BR>\n" );
document.write( "that's when x = 0<BR>\n" );
document.write( "1999 is 9 years after 1990.<BR>\n" );
document.write( "that's when x = 9<BR>\n" );
document.write( "the slope is equal to (y2 - y1) / (x2 - x1)<BR>\n" );
document.write( "(x1,y1) = (0,102)<BR>\n" );
document.write( "the value of y is 102 when the value os x = 0<BR>\n" );
document.write( "(x2,y2) = (9,237)<BR>\n" );
document.write( "the value of y is 237 when x = 9<BR>\n" );
document.write( "the slope will be equal to (237 - 102) / (9 - 0) = 15.<BR>\n" );
document.write( "the equation becomes y = 15 * x + 102<BR>\n" );
document.write( "the equation tells you that the cost of tuition is growing at a linear rate of 15 dollars per year.<BR>\n" );
document.write( "the year 2005 is 15 years after the year 1990.<BR>\n" );
document.write( "the tuition will be equal to 15 * 15 + 102 = 327 in the year 2005.<BR>\n" );
document.write( "to find when the tuition will be 357 dollars, replace y in the equation with t hat to get 357 = 15 * x + 102.<BR>\n" );
document.write( "subtract 102 from both sides of the equation to get 255 = 15 * x<BR>\n" );
document.write( "divide both sides of the equation by 15 to get 17 = x<BR>\n" );
document.write( "when x = 17, the years is 1990 + 17 = 2007.<BR>\n" );
document.write( "the equation can be graphed as shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/071702.jpg\"><BR>\n" );
document.write( "your solutions are:<BR>\n" );
document.write( "the equation is y = 15 * x + 102 *****<BR>\n" );
document.write( "in 1990, the tuition is 102 (given).<BR>\n" );
document.write( "in 1999, the tuition is 237 (given).<BR>\n" );
document.write( "in 2005, the tuition will be 15 * 15  + 102 = 327 *****<BR>\n" );
document.write( "the tuition will be 357 in 2007 *****<BR>\n" );
document.write( "here's a reference on straight line equations.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.purplemath.com/modules/strtlneq.htm\" target = \"_blank\">https://www.purplemath.com/modules/strtlneq.htm</a><BR>\n" );
document.write( "let me know if you have any questions.<BR>\n" );
document.write( "theo<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );