document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123847>Question 1123847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Austin is comparing the prices of two truck rental companies. Company A charges $4 per hour and an additional $70 as service charges. Company B charges $5 per hour and an additional $60 as service charges.\r<BR>\n" );
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document.write( "Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points)\r<BR>\n" );
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document.write( "Part B: Which company would charge less for renting a truck for 6 hours? Justify your answer. (3 points)\r<BR>\n" );
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document.write( "Part C: How much money is saved by using the services of Company B instead of Company A to rent a truck for 7 hours? (3 points) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #740281 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=740281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the number of hours of rental.\r<BR>\n" );
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document.write( "company A charges 70 + 4x\r<BR>\n" );
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document.write( "company B charges 60 + 5x\r<BR>\n" );
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document.write( "for a 6 hour rental:\r<BR>\n" );
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document.write( "A charges 70 + 4*6 = 70 + 24 = 94<BR>\n" );
document.write( "B charges 60 + 5*6 = 60 + 30 = 90\r<BR>\n" );
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document.write( "for a 7 hour rental:\r<BR>\n" );
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document.write( "A charges 70 + 4*7 = 70 + 28 = 98<BR>\n" );
document.write( "B charges 60 + 5*7 = 60 + 35 = 95\r<BR>\n" );
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document.write( "company B charges less for both the 6 hour rental and the 7 hour rental.\r<BR>\n" );
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document.write( "for the 7 hour rental, company B charges 3 dollars less than company A.\r<BR>\n" );
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document.write( "your solution appears to be:\r<BR>\n" );
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document.write( "Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points) \r<BR>\n" );
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document.write( "equations are c = 70 + 4x for company A and c = 60 + 5x for company B.<BR>\n" );
document.write( "c is the total charges.<BR>\n" );
document.write( "x is the number of hours that the trucks are being rented for.\r<BR>\n" );
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document.write( "Part B: Which company would charge less for renting a truck for 6 hours? Justify your answer. (3 points) \r<BR>\n" );
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document.write( "company B would charge less.<BR>\n" );
document.write( "the fixed charges for company B are 10 dollars less than the fixed charges for company A (60 versus 70).<BR>\n" );
document.write( "the variable charges for company B are 30 and the variable charges for company A are 24.<BR>\n" );
document.write( "company B charges 6 dollars more for the variable part of the charges (the per hour charges).<BR>\n" );
document.write( "company B charges 10 dollars less for the fixed portion of the charges, but 6 dollars more for the variable portion of the charges.<BR>\n" );
document.write( "this means company B charges a net 4 dollars less total.\r<BR>\n" );
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document.write( "Part C: How much money is saved by using the services of Company B instead of Company A to rent a truck for 7 hours? (3 points)\r<BR>\n" );
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document.write( "company B charges 10 dollars less for the fixed portion of the charges 70 for company A and 60 for company B), but charges 7 dollars more for the variable portion of the charges (28 for company A and 35 for company B).<BR>\n" );
document.write( "company B charges a net 3 dollars less than company A (10 - 7).\r<BR>\n" );
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document.write( "for your additional information, see below:\r<BR>\n" );
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document.write( "the break even point is when company A charges the same as company B.\r<BR>\n" );
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document.write( "in that case, 70 + 4x = 60 + 5x.<BR>\n" );
document.write( "subtract 60 from both sides of that equation and subtract 4x from both sides of that equation to get 70 - 60 = 5x - 4x<BR>\n" );
document.write( "combine like terms to get 10 = x<BR>\n" );
document.write( "the break even point is at 10 hours.\r<BR>\n" );
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document.write( "for a 10 hour rental:\r<BR>\n" );
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document.write( "company A charges 70 + 4*10 = 110<BR>\n" );
document.write( "company B charges 60 + 5*10 = 110\r<BR>\n" );
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document.write( "for a rental that lasts less than 10 hours, company B is cheaper.<BR>\n" );
document.write( "for a rental that lasts more than 10 hours, company A is cheaper.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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