document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503468>Question 503468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A truck driving 260 miles over a flat interstate at a constant rate of 50 miles per hour gets 7 miles to the gallon.  Fuel cost $3.50 per gallon.  For each mile per hour increase in speed, the truck loses a tenth of a mile per gallon in its mileage.  Driver gets $27.50 per hour in wages and fixed cost for running the truck amount to $11.33 per hour.  What Constant Speed (between 50 mph and the speed limit of 65 mph) should the truck drive to minimize the total cost of the trip?\r<BR>\n" );
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document.write( "A. Let's start out by finding how long the trip will take?\r<BR>\n" );
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document.write( "B. Now, with this time known, how much will it cost to pay the driver and run the truck?\r<BR>\n" );
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document.write( "I need help with just setting up the problem and doing A and B, this is a huge math project and I think If i can have help with the first couple few I can do the rest. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339290 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=339290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A truck driving 260 miles over a flat interstate at a constant rate of 50 miles per hour gets 7 miles to the gallon. Fuel cost $3.50 per gallon. <BR>\n" );
document.write( "For each mile per hour increase in speed, the truck loses a tenth of a mile per gallon in its mileage. <BR>\n" );
document.write( "Driver gets $27.50 per hour in wages and fixed cost for running the truck amount to $11.33 per hour.<BR>\n" );
document.write( " What Constant Speed (between 50 mph and the speed limit of 65 mph) should the truck drive to minimize the total cost of the trip?<BR>\n" );
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document.write( "A. Let's start out by finding how long the trip will take?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F50 ALIGN=MIDDLE  ALT=\"260%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5.2 hrs to make the 260 mi trip at 50 mph<BR>\n" );
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document.write( "B. Now, with this time known, how much will it cost to pay the driver and run the truck? <BR>\n" );
document.write( "5.2 * 27.50 = $143.00, for the driver<BR>\n" );
document.write( "5.2 * 11.33 =  $58.92, for the truck<BR>\n" );
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document.write( "total cost:  $201.92 <BR>\n" );
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document.write( "Cost for gas: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F7 ALIGN=MIDDLE  ALT=\"260%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 3.50 = $130.00 for gas (at 50 mph)<BR>\n" );
document.write( "add to the above cost: 201.92 + 130 = $331.92 total for the 260 mi trip<BR>\n" );
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document.write( "Correct a math error above, but also:<BR>\n" );
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document.write( "\"What Constant Speed (between 50 mph and the speed limit of 65 mph) should the truck drive to minimize the total cost of the trip? :<BR>\n" );
document.write( "Speed affects time which affects cost<BR>\n" );
document.write( "Speed also affect gas mileage<BR>\n" );
document.write( "let s = speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2Fs ALIGN=MIDDLE  ALT=\"260%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F%287-.1%28s-50%29%29 ALIGN=MIDDLE  ALT=\"260%2F%287-.1%28s-50%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amt of gas required <BR>\n" );
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document.write( "Write a cost equation which is in terms of speed (s)<BR>\n" );
document.write( "Cost = driver time + truck time + gas used<BR>\n" );
document.write( "C(s) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2Fs ALIGN=MIDDLE  ALT=\"260%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >*27.50 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2Fs ALIGN=MIDDLE  ALT=\"260%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >*11.33 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F%287-.1%28s-50%29%29 ALIGN=MIDDLE  ALT=\"260%2F%287-.1%28s-50%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*3.50 </SPAN>\n" );
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