document.write( "Question 152283: A rental car agency charges $19 per day plus 11 cents per mile to rent a certain car. Another agency charges $25 per day plus 5 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency? \n" ); document.write( "
Algebra.Com's Answer #111954 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rental car agency charges $19 per day plus 11 cents per mile to rent a certain car. Another agency charges $25 per day plus 5 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency? \n" ); document.write( "; \n" ); document.write( "Let x = no. of miles for this to be true \n" ); document.write( "; \n" ); document.write( "Write an equation for each rental company \n" ); document.write( ": \n" ); document.write( "Cost1 = .11x + 19 \n" ); document.write( "and \n" ); document.write( "Cost2 = .05x + 25 \n" ); document.write( "; \n" ); document.write( "Find out when they are equal: Cost1 = Cost2 \n" ); document.write( ".11x + 19 = .05x + 25 \n" ); document.write( ".11x - .05x = 25 - 19 \n" ); document.write( ".06x = 6 \n" ); document.write( "x = \n" ); document.write( "x = 100 miles \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We can confirm this is true, find the actual cost for each: \n" ); document.write( ".11(100) + 19 = $30 \n" ); document.write( ".05(100) + 25 = $30 \n" ); document.write( " |