document.write( "Question 752091: I have been trying to turn this word problem into a linear equation for a week now with no success. Can you help? \r
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document.write( "A downtown employee is looking for the best option for parking a car during a 5 day work week. Garage A offers unlimited parking at a flat rate $150.00 per month. Garage B offers an hourly rate of $5.00 for parking. Which option is best for the employee on a monthly basis?\r
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document.write( "The employee is parking 160 hours per month. This is a word problem that I had to come up with on my own make 2 linear equations out of it and then graph it and show where they intercept. \r
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document.write( "Any help would be appreciated. Thank you! \n" );
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Algebra.Com's Answer #457562 by MathTherapy(10555)![]() ![]() You can put this solution on YOUR website! I have been trying to turn this word problem into a linear equation for a week now with no success. Can you help? \r \n" ); document.write( "\n" ); document.write( "A downtown employee is looking for the best option for parking a car during a 5 day work week. Garage A offers unlimited parking at a flat rate $150.00 per month. Garage B offers an hourly rate of $5.00 for parking. Which option is best for the employee on a monthly basis?\r \n" ); document.write( "\n" ); document.write( "The employee is parking 160 hours per month. This is a word problem that I had to come up with on my own make 2 linear equations out of it and then graph it and show where they intercept. \r \n" ); document.write( "\n" ); document.write( "Any help would be appreciated. Thank you!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Garage A's charge is $150\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Garage B's charge = 5H, with H being amount of hours of parking\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5H < 150\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "H, or hours that'll make garage B's cost less than garage A's should be < \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that if a person needs to park for less than 30 hours per month, then garage B will be cheaper.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "At 30 hours per month both costs are equal.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Parking for 160 hours DEFINITELY makes garage A the cheaper of the two. You can do the math to see why this is so.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can graph garage A's linear equation as A(x) = 0x + 150, with x being the amount of monthly-hours of parking\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Garage B's equation: B(x) = 5x, with x being the amount of hours of monthly-hours of parking. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You'll then see where the two equations intersect, which is the point where the two costs are equal. \n" ); document.write( " |