document.write( "Question 29404: A real estate agent agrees to sell a large apartment complex according to the following commission schedule: $23,000 plus 25% of the selling price in excess of $900,000. Assuming that the complex will sell at some price between $900,000 and $1,100,000, inclusive, over what range does the agent's commission vary? How does the commission vary as a percent of selling price? \n" ); document.write( "

Algebra.Com's Answer #16295 by josmiceli(19441) $\"\"$ $\"About$

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let commission = c
\n" ); document.write( "let selling price = p
\n" ); document.write( "23,000 + .25p = c
\n" ); document.write( "p varies between 900K and 1,100K
\n" ); document.write( "23,000 + .25(900K) = c
\n" ); document.write( "248K = c
\n" ); document.write( "23,000 + .25(1,100K) = c
\n" ); document.write( "298K = c
\n" ); document.write( "so the agents commission can vary from $248K to $298K
\n" ); document.write( "How does the commission vary as a percent of selling price?
\n" ); document.write( "100 x c/p
\n" ); document.write( "100 x (23K + .25p) / p
\n" ); document.write( "100 x (23K/p + .25) = commission as percent of selling price
\n" ); document.write( "try p = 1,100,000
\n" ); document.write( "100 x (23K/1100K + .25) =
\n" ); document.write( "100 x (.0209 + .25) = 27.1% \n" ); document.write( "

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