document.write( "Question 49196: Hello, I am in the processing of helping my son with his homework and we're bo th stuck. Please Help! With this word problem we need to define a variable, write an equation or inequality, and solve the problem.\r
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document.write( "Problem: Mrs. Denney is renting a car that gets 35 miles per gallon. The rental charge is $19.50 a day plus .18 cents per mile. Her company will reimburse her for $33 of this portion of her travel expenses. If Mrs. Denney rents the car for 1 day, find the maximum number of miles that will be paid for by her company. \n" );
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Algebra.Com's Answer #32621 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Start by letting x = the maximum number of miles. \n" ); document.write( "From the problem description, you can write: \n" ); document.write( "$19.50 + $0.18(x) = $33.00 \n" ); document.write( "Because the company will reimburse $33.00 which includes the $19.50 per day plus the $0.18 for every mile (x) driven on that day. Solve the above equation for x.\r \n" ); document.write( "\n" ); document.write( "19.5 + 0.18x = 33 Subtract 19.5 from both sides of the equation. \n" ); document.write( "0.18x = 13.5 Divide both sides by 0.18 \n" ); document.write( "x = 75\r \n" ); document.write( "\n" ); document.write( "If Mrs. Denney drives 75 miles in one day, the company will reimburse her the total cost of renting the car for that day.\r \n" ); document.write( "\n" ); document.write( "P.S. The fact that the car gets 35 miles to the gallon is interesting but not required to solve this problem. \n" ); document.write( " |