document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189337>Question 1189337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . Mr. Dodson is having the exterior of his<BR>\n" );
document.write( "house painted. The painters charge<BR>\n" );
document.write( "$35 per hour plus the cost of materials.<BR>\n" );
document.write( "After 20 hours of work, Mr. Dodson<BR>\n" );
document.write( "owes the painters $840. Assume the<BR>\n" );
document.write( "relationship is linear. Find and<BR>\n" );
document.write( "interpret the rate of change and the<BR>\n" );
document.write( "initial value </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820686 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=820686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the slope intercept form of the equation of a straight line is y = mx + b.<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in this problem, y represents the total cost and x represents+ the number of hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the formula becom3es y = 35 * x + b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when y = 840 and x = 20, the formula becomes 840 = 35 * 20 + b<BR>\n" );
document.write( "simplify to get 840 = 700 + b<BR>\n" );
document.write( "solve for b to get b = 140.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the additional cost of the material can be assumed to be part of the up front cost which is the 140 dollars.<BR>\n" );
document.write( "that's the initial value.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the rate of change is 35 dollars.<BR>\n" );
document.write( "that the cost per hour.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the painters take 20 hours to finish the job, then the total cost is 840 because 20 * 35 + 140 = 840. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );