document.write( "Question 42111This question is from textbook Begining Algebra
\n" ); document.write( ": Business and finance. In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are the 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x. \n" ); document.write( "
Algebra.Com's Answer #27249 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
Since this problem involves a linear equation, use the slope-intercept format:
\n" ); document.write( "y=mx+b
\n" ); document.write( ".
\n" ); document.write( "First, identify the x and y values along with the coordinate pairs:
\n" ); document.write( "Pair #1: (x, y) = (100; 10,000)
\n" ); document.write( "Pair #2: (x, y) = (300; 22,000)
\n" ); document.write( ".
\n" ); document.write( "Find the slope of these two points:
\n" ); document.write( "Slope = m = delta y/delta x = (10,000 - 22,000)/100 - 300 = 60
\n" ); document.write( ".
\n" ); document.write( "Plug in the values into the equation.
\n" ); document.write( "Use any (x, y) pair for the values of x and y:
\n" ); document.write( "y = mx + b
\n" ); document.write( "22,000 = (60)(300) + b
\n" ); document.write( "22,000 = 18000 + b
\n" ); document.write( "4,000 = b
\n" ); document.write( "Plug the value of the slope \"m\" and \"b\" into the equation:
\n" ); document.write( "Cost (c) = 60x + 4000
\n" ); document.write( "C = 60x + 4000\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );