document.write( "Question 352558: if it costs $20,000 to make 700 chairs and $30,000 to make 1500, write an equation that relates cost to number of chairs. what is the cost to make 2000 chairs \n" ); document.write( "

Algebra.Com's Answer #251954 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"C\"$ = cost, and plot on vertical axis
\n" ); document.write( "Let $\"x\"$ = number of chairs, and plot on
\n" ); document.write( "horizontal axis
\n" ); document.write( "You are given 2 points on the graph,
\n" ); document.write( "(700, 20000) and (1500, 30000)
\n" ); document.write( "Use the point-slope formula
\n" ); document.write( "

\n" ); document.write( " $\"%28C+-+20000%29%2F+%28x+-+700%29+=+%2830000+-+20000%29+%2F+%281500+-+700%29\"$
\n" ); document.write( " $\"%28C+-+20000%29%2F+%28x+-+700%29+=+10000+%2F+800\"$
\n" ); document.write( " $\"%28C+-+20000%29%2F%28x+-+700%29+=+12.5\"$
\n" ); document.write( " $\"C+-+20000+=+12.5x+-+8750\"$
\n" ); document.write( " $\"C+=+12.5x+%2B+11250\"$
\n" ); document.write( "T make 2000 chairs:
\n" ); document.write( " $\"C+=+12.5%2A2000+%2B+11250\"$
\n" ); document.write( " $\"C+=+25000+%2B+11250\"$
\n" ); document.write( " $\"C+=+36250\"$
\n" ); document.write( "It cost $36,250 to make 2000 chairs \n" ); document.write( "

\n" );