document.write( "Question 164015: a rental car agency charges $16 per day plus 10 cents per mile to rent a certain car. Another agency charges $18 per day plus 5 cents per mile to rent the same car. How many miles will have to be driven for the cost of a car from the firts agency to equal the cost of a car of the second agency? \n" ); document.write( "
Algebra.Com's Answer #120882 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Let m = total miles driven \n" ); document.write( ". \n" ); document.write( "Cost formula of rental car agency 1: \n" ); document.write( "C(m) = 16 + .10m \n" ); document.write( ". \n" ); document.write( "Cost formula of rental car agency 2: \n" ); document.write( "C(m) = 18 + .05m \n" ); document.write( ". \n" ); document.write( "Set them equal to each other and solve for m: \n" ); document.write( "16 + .10m = 18 + .05m \n" ); document.write( ".10m = 2 + .05m \n" ); document.write( ".05m = 2 \n" ); document.write( "m = 2/.05 \n" ); document.write( "m = 40 miles \n" ); document.write( " \n" ); document.write( " |