document.write( "Question 710509: I would appreciate help with the following question:\r
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document.write( "A car rental company offers two plans for renting a car.
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document.write( "Plan A: $35 per day and 10¢ per mile
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document.write( "Plan B: $45 per day with free unlimited mileage
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document.write( "For what range of miles will plan B save you money?\r
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document.write( "uhm my guess would be 35+.10X > 45+X
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document.write( "but that gives me a negative number.
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Algebra.Com's Answer #437012 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Your guess (not a very good mathematical term) is almost correct except for the X on the right hand side of \n" ); document.write( "(1) 35 + 0.10*X > 45 + X \n" ); document.write( "It should be \n" ); document.write( "(2) 35 + 0.10*X > 45, without the X because you get unlimited milage for $45. That is, in math terms it is independent of mileage X. \n" ); document.write( "Solve (2) gives us \n" ); document.write( "(3) 0.10*X > 45-35 or \n" ); document.write( "(4) X/10 > 10 or \n" ); document.write( "(5) X > 100 \n" ); document.write( "Answer: Plan B is better when you are going to travel more than 100 miles a day. \n" ); document.write( " |