document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41823>Question 41823</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh>algebra an introductory course</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> im not really sure if this is the right topic for my question.\r<BR>\n" );
document.write( "\n" );
document.write( "NUMBER OF   |         |         |        |        |<BR>\n" );
document.write( "TICKETS(n)  |   1     |    2    |   3    |   4    |   5<BR>\n" );
document.write( "____________|_________| ________|________|________|_________<BR>\n" );
document.write( "COST IN     |   1.50  |   3.00  |   4.50 |   6.00 |   7.50<BR>\n" );
document.write( "DOLLARS(c)  |         |         |        |        |  \r<BR>\n" );
document.write( "\n" );
document.write( "WRITE A FORMULA TO EXPRESS THE RELATIONSHIP SHOWN IN EACH TABLE\r<BR>\n" );
document.write( "\n" );
document.write( "IM NOT SURE HOW TO SOLVE THIS, PLEASE HELP ME   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26985 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem involves the equation of a line.  The formula is y = mx + b<BR>\n" );
document.write( "y = any value for y<BR>\n" );
document.write( "m = the slope of the line<BR>\n" );
document.write( "x = any matching value for x<BR>\n" );
document.write( "b = the point where the line crosses the y-axis.\r<BR>\n" );
document.write( "\n" );
document.write( "In your table, the \"x\" values are \"the number of tickets.\"  The corresponding \"y\" values are the cost for that number of tickets.  <BR>\n" );
document.write( "For example 1 ticket costs $1.50.  Two tickets cost $3.00, etc.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "First, find the slope of the line using:<BR>\n" );
document.write( "slope (m) = (y1 - y2)/(x1-x2)<BR>\n" );
document.write( "I picked any two points from your table:<BR>\n" );
document.write( "(1, 1.50) and (2, 3.00).  The first number is the x value and the second number is the y value. <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Slope = (1.50-3.00)/(1-2)= 1.5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next plug in values for y = mx + b and solve for \"b\".  I picked the point (2, 3.00) again<BR>\n" );
document.write( ".<BR>\n" );
document.write( "3.00= (1.50)2 + b<BR>\n" );
document.write( "3.00 = 3.00 + b<BR>\n" );
document.write( "3.00 - 3.00 = b<BR>\n" );
document.write( "0 = b (which is the value for the y-intercept)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Plug-in the values that we found for the slope and the y-intercept values into the equation for the equation of the line:<BR>\n" );
document.write( "y = 1.5x + 0<BR>\n" );
document.write( "or <BR>\n" );
document.write( "y = 1.5x <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check by testing another point from your table.  Lets pick (4, 6.00)<BR>\n" );
document.write( "6.00 = (1.5)(4) + 0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "6 = 6\r<BR>\n" );
document.write( "\n" );
document.write( "So what this table tells you is that for every ticket sold, the slope or price goes up $1.50. Using the slope-intercept formula helps to predict the cost of any number of tickets.  The cost (\"y\") of 135 tickets (\"x\") at $1.50(\"m\")would be:\r<BR>\n" );
document.write( "\n" );
document.write( "y = (1.5)(135) + 0<BR>\n" );
document.write( "y = $202.50<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );