document.write( "Question 41627: A club is going on a bus trip to NYC to see a Broadway play. The cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $31 per person if 50 people go on the trip. How much will it cost per person if 81 people go on the trip?\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help
\n" ); document.write( "

Algebra.Com's Answer #26894 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
First write the variation equation:
\n" ); document.write( "\"C+=+k%2Fn\" where: C = cost, n = number of people, and k is the constant of variation. To find the value of k, just substitute the given values of C = $31 and n = 50.\r
\n" ); document.write( "\n" ); document.write( "\"31+=+k%2F50\" Multiply both sides by 50.
\n" ); document.write( "\"k+=+1550\"\r
\n" ); document.write( "\n" ); document.write( "The equation of variation for the cost is:
\n" ); document.write( "\"C+=+1550%2Fn\"\r
\n" ); document.write( "\n" ); document.write( "Now you can find the cost for 81 people by substituting n=81.\r
\n" ); document.write( "\n" ); document.write( "\"C+=+1550%2F81\"
\n" ); document.write( "\"C+=+19.14\"\r
\n" ); document.write( "\n" ); document.write( "It will cost $19.14 per person if 81 people go on the trip.
\n" ); document.write( "
\n" );