SOLUTION: A real estate agent agrees to sell an apartment complex according to the following commission schedule: $45,000 plus 25% of the selling price in excess of $900,000. Assuming that t

Algebra ->  Inequalities -> SOLUTION: A real estate agent agrees to sell an apartment complex according to the following commission schedule: $45,000 plus 25% of the selling price in excess of $900,000. Assuming that t      Log On


   



Question 1208891: A real estate agent agrees to sell an apartment complex according to the following commission schedule: $45,000 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 the selling price?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the complex sells at $900,000 the commission will be $45,000, which relative to the selling price is
%22%2445%2C000%22%2F%22%24900%2C000%22=5%2F100=0.05=%225.00%25%22 .
For every $1 above $900,000 the agent gets paid 25% of that $1, $0.25, making t percentage increase continuously up to the maximum percentage for a selling price of $1,100,000.
If the complex sells at $1,100,000 the commission will be
, which relative to the selling price is
%22%2495%2C000%22%2F%22%241%2C100%2C000%22=%228.636363...%25%22=%228.64%25%28rounded%29%22

The agent’s commission varies from %225.00%25%22 to %228.64%25%22 as a percent of the selling price?