document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254890>Question 254890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For business purposes Mr. John Smith wants to determine the difference between the costs of owning, and renting an automobile. He can rent a car for $140 per month on an annual base. Under this plan his cost per mile for gas and oil is $ 0.05. If he were to purchase the car, his fixed annual expense would be $ 1000 and other costs would amount to $ 0.1 per mile. What is the least number of miles he would have to drive per year to make renting no more expensive than purchasing? Approach the questions using EXEL. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187186 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For business purposes Mr. John Smith wants to determine the difference between the costs of owning, and renting an automobile. He can rent a car for $140 per month on an annual base. Under this plan his cost per mile for gas and oil is $ 0.05. If he were to purchase the car, his fixed annual expense would be $ 1000 and other costs would amount to $ 0.1 per mile. What is the least number of miles he would have to drive per year to make renting no more expensive than purchasing? Approach the questions using EXEL.\r<BR>\n" );
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document.write( "EXEL should be EXCEL\r<BR>\n" );
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document.write( "rent: $140/month * 12 months/year = 140*12 = $1680/year<BR>\n" );
document.write( "       x=number of miles<BR>\n" );
document.write( "       1680+0.05*x<BR>\n" );
document.write( "purchase: 1000+0.1*x\r<BR>\n" );
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document.write( "set these equal to each other and solve for x<BR>\n" );
document.write( "1680+0.05*x=1000+0.1*x<BR>\n" );
document.write( "put x's on one side and constants on the other<BR>\n" );
document.write( "680=0.1*x-0.05*x=0.05*x\r<BR>\n" );
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document.write( "680/0.05 = x<BR>\n" );
document.write( "x=13600\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C500%2C0%2C20000%2C0%2C10000%2C1680%2B0.05%2Ax%2C1000%2B0.1%2Ax%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C500%2C0%2C20000%2C0%2C10000%2C1680%2B0.05%2Ax%2C1000%2B0.1%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "miles	cost renting	cost purchasing<BR>\n" );
document.write( "x	1680+0.05x	1000+0.1x<BR>\n" );
document.write( "0	1680	        1000<BR>\n" );
document.write( "1000	1730	        1100<BR>\n" );
document.write( "2000	1780		1200<BR>\n" );
document.write( "3000	1830		1300<BR>\n" );
document.write( "4000	1880		1400<BR>\n" );
document.write( "5000	1930		1500<BR>\n" );
document.write( "6000	1980		1600<BR>\n" );
document.write( "7000	2030		1700<BR>\n" );
document.write( "8000	2080		1800<BR>\n" );
document.write( "9000	2130		1900<BR>\n" );
document.write( "10000	2180		2000<BR>\n" );
document.write( "11000	2230		2100<BR>\n" );
document.write( "12000	2280		2200<BR>\n" );
document.write( "13000	2330		2300<BR>\n" );
document.write( "13100	2335		2310<BR>\n" );
document.write( "13200	2340		2320<BR>\n" );
document.write( "13300	2345		2330<BR>\n" );
document.write( "13400	2350		2340<BR>\n" );
document.write( "13500	2355		2350<BR>\n" );
document.write( "13600	2360		2360\r<BR>\n" );
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document.write( " </SPAN>\n" );
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