document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503630>Question 503630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Todd contracted to paint a house for $480. It took him 4 hours longer than he anticipated, so he earned $0.50 less per hour than he originally calculated. How long had he anticipated it would take him to paint the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339342 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Todd contracted to paint a house for $480. It took him 4 hours longer than he anticipated, so he earned $0.50 less per hour than he originally calculated.<BR>\n" );
document.write( " How long had he anticipated it would take him to paint the house?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = no. of hr he anticipated to paint the house<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+4) = no. of hrs he actually required to paint the house<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2Ft ALIGN=MIDDLE  ALT=\"480%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the hourly pay he anticipated<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2Ft ALIGN=MIDDLE  ALT=\"480%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2F%28%28t%2B4%29%29 ALIGN=MIDDLE  ALT=\"480%2F%28%28t%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .50<BR>\n" );
document.write( "multiply by t(t+4), results<BR>\n" );
document.write( "480(t+4) - 480t = .5t(t+4)<BR>\n" );
document.write( "480t + 1920 - 480t = .5t^2 + 2t<BR>\n" );
document.write( "1920 = .5t^2 + 2t<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( ".5t^2 + 2t - 1920 = 0<BR>\n" );
document.write( "Multiply by 2 to give t^2 a coefficient of 1<BR>\n" );
document.write( "t^2 + 4t - 3840 = 0<BR>\n" );
document.write( "You can use the quadratic formula to find t, however this will factor to:<BR>\n" );
document.write( "(t+64)(t-60) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "t = 60 hrs he anticipated to paint the House<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this by finding the actual hourly pair<BR>\n" );
document.write( "480/64 = $7.50, actual pay<BR>\n" );
document.write( "480/60 = $8.00, hoped for pay </SPAN>\n" );
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