document.write( "Question 572899: The cost of driving your vehicle can be calculated using the following equation:
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document.write( "Fuel cost for one year = (miles driven * price per gallon) ÷ (fuel effieciency rate). If you drove 22,500 miles, paid $225 per gallon of gasoline, and spent a total of $2025 on gasoline, what is the fuel effieciency rate of your car? How much would you have saved if your cars's fuel efficiency rate were 35 miles per gallon?
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document.write( "My grade is depending on these questions and I am very lost, please help me if you can. I would greatly appreciate it.
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Algebra.Com's Answer #368561 by mathsmiles(68)![]() ![]() You can put this solution on YOUR website! Fuel cost for one year = $2025 \n" ); document.write( "Price per gallon = $225 \n" ); document.write( "Miles driven = 22,500\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Fuel cost for one year = (miles driven * price per gallon) / (fuel efficiency rate)\r \n" ); document.write( "\n" ); document.write( "You have everything but the fuel efficiency rate already. Just need to solve for that. Let's call that E\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, substituting, \n" ); document.write( "2025 = (22500 * 2.25) / E.\r \n" ); document.write( "\n" ); document.write( "2025 = (50625) / E \n" ); document.write( "To get E in the numerator, we need to multiply each side by E.\r \n" ); document.write( "\n" ); document.write( "2025 * E = 50625 \n" ); document.write( "Now divide both sides by 2025 to get E alone.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "E = 25. Fuel efficiency is 25.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The second part of the question gives you a new E, but wants us to calculate the new fuel cost for one year. So back to the formula: \n" ); document.write( "Fuel cost for one year = (miles driven * price per gallon) / (fuel efficiency rate) \n" ); document.write( "Let C = cost for one year \n" ); document.write( "C = (22500 * 2.25) / 35 \n" ); document.write( "C = 1446.43 \n" ); document.write( "If the fuel efficiency were 35, the cost per year would have been $1446.43.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The savings would have been: $2025 - $1446.43 = $578.57\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |