document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229439>Question 229439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mack's Parking Garage charges $4.00 for the first hour and $2.50 for each additonal hour. For how long has a car been parked when the charge exceeds $16.50? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170143 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mack's Parking Garage charges $4.00 for the first hour and $2.50 for each additonal hour. For how long has a car been parked when the charge exceeds $16.50?\r<BR>\n" );
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document.write( "Let the total amount of hours the car has been parked at the garage be H\r<BR>\n" );
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document.write( "Then the amount of hours it has been parked at the $2.50 per hour rate is H - 1, since the 1st hour costs $4\r<BR>\n" );
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document.write( "For the total cost to exceed $16.50, we will then have:\r<BR>\n" );
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document.write( "4 + 2.5(H - 1) > 16.5\r<BR>\n" );
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document.write( "4 + 2.5H - 2.5 > 16.5\r<BR>\n" );
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document.write( "2.5H + 1.5 > 16.5\r<BR>\n" );
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document.write( "2.5H > 15\r<BR>\n" );
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document.write( "H > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F2.5+=+6 ALIGN=MIDDLE  ALT=\"15%2F2.5+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, for the cost to exceed $16.50, the car has to be parked a total of more than H. or more than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%286%29 ALIGN=MIDDLE  ALT=\"highlight_green%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours, of which 1 hour is at the $4.00, 1st-hour rate, and more than 5 hours is at the $2.50 per hour rate.\r<BR>\n" );
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document.write( "Check<BR>\n" );
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document.write( "Since the total amount of hours is > 6, then let the total amount of hours of parking be 6.01\r<BR>\n" );
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document.write( "1 hour at $4.00  + 5.01 hours at $2.50 > $16.50 gives us:\r<BR>\n" );
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document.write( "$4.00 + 12.525 > 16.50\r<BR>\n" );
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document.write( "$4.00 + 12.53 > 16.50\r<BR>\n" );
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document.write( "$16.53 > $16.50 (TRUE) </SPAN>\n" );
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