document.write( "Question 456897: At the car wash there is a flat fee for the first 8 minutes. Sally was there for 12 mins and cost her $5. John was there for 17 mins and cost him $6.25. Write a equation and find the cost of the flat fee and cost per minute. \n" ); document.write( "
Algebra.Com's Answer #313615 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! At the car wash there is a flat fee for the first 8 minutes. \n" ); document.write( " Sally was there for 12 mins and cost her $5. \n" ); document.write( " John was there for 17 mins and cost him $6.25. \n" ); document.write( " Write a equation and find the cost of the flat fee and cost per minute. \n" ); document.write( ": \n" ); document.write( "Let f = flat fee for the 1st 8 min \n" ); document.write( "Let a = cost for each additional min \n" ); document.write( ": \n" ); document.write( "Two equations: \n" ); document.write( ": \n" ); document.write( "\"Sally was there for 12 mins and cost her $5.\" \n" ); document.write( "a(12-8) + f = $5 \n" ); document.write( "4a + f = $5 \n" ); document.write( ": \n" ); document.write( "\" John was there for 17 mins and cost him $6.25.\" \n" ); document.write( "a(17-8) + f = $6.25 \n" ); document.write( "9a + f = 6.25 \n" ); document.write( ": \n" ); document.write( "We can use elimination here, subtract the 1st equation from the 2nd \n" ); document.write( "9a + f = 6.25 \n" ); document.write( "4a + f = 5.00 \n" ); document.write( "-----------------subtraction eliminates f find a \n" ); document.write( "5a = 1.25 \n" ); document.write( "a = \n" ); document.write( "a = .25 for each additional min \n" ); document.write( ": \n" ); document.write( "Find f using the 1st equation \n" ); document.write( "4(.25) + f = 5 \n" ); document.write( "1.00 + f = 5 \n" ); document.write( "f = 5 - 1 \n" ); document.write( "f = $4 is the flat fee for the 1st 8 min \n" ); document.write( ": \n" ); document.write( "Check our solutions in the 2nd equation \n" ); document.write( "9(.25) + 4.00 = 6.25\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |