document.write( "Question 1163713: Cost for copies is a linear function of the number of copies. If 100 copies cost ​$16.00, and 75 copies cost $13.00​, write a formula for copy cost as a linear function of the number of copies. Then find how much it would cost to make 800 copies. \n" ); document.write( "
Algebra.Com's Answer #787891 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "It is a standard linear interpolation-extrapolation formula\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    y = \"y%5B1%5D\" + \"%28%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29%2A%28x-x%5B1%5D%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "With  \"x%5B1%5D\" = 100,  \"y%5B1%5D\" = 16,  \"x%5B2%5D\" = 75,  \"y%5B2%5D\" = 13,  x = 800,  this prediction formula becomes\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    y = 16 + \"%28%2813-16%29%2F%2875-100%29%29%2A%28800-100%29\" = 16 + 0.12*700 = 100.00  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "When the question is posed as in this post, the person \"should not think\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "He (or she) must know the formula (or use a textbook or handbook or his memory) and follow it literally.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The only thing the user must understand, is who are the \"Xs\" and who are the \"Ys\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is also useful to understand that the formula express a straight line, passing through \r\n" );
document.write( "\r\n" );
document.write( "the points  (\"x%5B1%5D\",\"y%5B1%5D\")  and  (\"x%5B2%5D\",\"y%5B2%5D\")  in a coordinate plane.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "If you don't know this formula, then memorize it (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );