document.write( "Question 1201876: Should you consider fuel efficiency, measured in miles per gallon, when buying a new car? Suppose that car A costs $16,000 and gets 25 mi/gal, whereas car B costs $26,000 but gets 35 mi/gal. Further, assume that the price of gasoline is $4/gal and that you plan to drive the car for (m) mi. Taking into account price and fuel efficiency only,\r
\n" ); document.write( "\n" ); document.write( "(a) Write an expression CA for the cost of car A.
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Algebra.Com's Answer #836423 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Should you consider fuel efficiency, measured in miles per gallon, when buying a new car?
\n" ); document.write( "Suppose that car A costs $16,000 and gets 25 mi/gal, whereas car B costs $26,000 but gets 35 mi/gal.
\n" ); document.write( "Further, assume that the price of gasoline is $4/gal and that you plan to drive the car for (m) mi.
\n" ); document.write( "Taking into account price and fuel efficiency only,\r
\n" ); document.write( "\n" ); document.write( "(a) Write an expression CA for the cost of car A.\r
\n" ); document.write( "\n" ); document.write( "(b) Write an expression CB for the cost of car B.\r
\n" ); document.write( "\n" ); document.write( "(c) How many total miles m would you have to drive so that the cost is the same for both cars?
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document.write( "(a)  CA = 16000 +   dollars.    (Notice that    is the number of gallons of fuel in this case,\r\n" );
document.write( "                                               and    represents the cost of fuel for m miles)\r\n" );
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document.write( "(b)  CB = 26000 +   dollars.    (Notice that    is the number of gallons of fuel in this case\r\n" );
document.write( "                                               and    represents the cost of fuel for m miles)\r\n" );
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document.write( "(c)  CA = CB  when\r\n" );
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document.write( "          16000 +  = 26000 + .\r\n" );
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document.write( "     To find m from this equation, simplify it step by step\r\n" );
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document.write( "           -  = 26000 - 16000\r\n" );
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document.write( "           -  = 10000/4 = 2500\r\n" );
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document.write( "          35m - 25m = 2500*25*35\r\n" );
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document.write( "              10m   =  2187500\r\n" );
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document.write( "               m    =  218750 miles.    ANSWER\r\n" );
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