document.write( "Question 1044199: An advertiser goes to a printer and is charged $30 for 50 copies of one flyer and $43 for 192 copies of another flyer. The printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that describes the cost of a printing job, if x is the number of copies made. C(x)= \n" ); document.write( "
Algebra.Com's Answer #660186 by macston(5194)![]() ![]() You can put this solution on YOUR website! C(x)=cost for x copies; F=fixed setup cost; P=per copy charge \n" ); document.write( "x=number of copies \n" ); document.write( ". \n" ); document.write( "C(x)=F+Px \n" ); document.write( ". \n" ); document.write( "$30=F+(P*50) \n" ); document.write( "$30-50P=F \n" ); document.write( ". \n" ); document.write( "$43=F+(P*192) \n" ); document.write( "$43-192P=F \n" ); document.write( ". \n" ); document.write( "$30-50P=$43-192P \n" ); document.write( "142P=$13 \n" ); document.write( "P=$0.0915 \n" ); document.write( ". \n" ); document.write( "F=$30-50P \n" ); document.write( "F=$30-50($0.0915) \n" ); document.write( "F=$30-$4.575 \n" ); document.write( "F=$25.425 \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "F=$43-192P \n" ); document.write( "F=$43-192($0.0915) \n" ); document.write( "F=$43-$17.568 \n" ); document.write( "F=25.432 \n" ); document.write( ". \n" ); document.write( "The setup cost is $25.43. The per copy cost is $0.0915 \n" ); document.write( ". \n" ); document.write( "ANSWER: \n" ); document.write( "C(x)=$25.43+$0.0915x \n" ); document.write( ". \n" ); document.write( "CHECK 1: \n" ); document.write( ". \n" ); document.write( "C(x)=$25.43+$0.0915(x) \n" ); document.write( "$30=$25.43+0.$0.0915(50) \n" ); document.write( "$30=$25.43+$4.575 \n" ); document.write( "$30=$30.005 (discrepancy from rounding) \n" ); document.write( ". \n" ); document.write( "CHECK 2: \n" ); document.write( ". \n" ); document.write( "C(x)=$25.43+$0.0915(x) \n" ); document.write( "$43=$25.43+$0.0915(192) \n" ); document.write( "$43=$25.43+$17.568 \n" ); document.write( "$43=$42.998 (discrepancy from rounding) \n" ); document.write( " \n" ); document.write( " |