document.write( "Question 172531: I would appreciate any help on the below question. I came up with P = -x + 62. I am not sure if this is correct or if it should be P = -x + 104.\r
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\n" ); document.write( "\n" ); document.write( "1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research). \r
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\n" ); document.write( "\n" ); document.write( "a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
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Algebra.Com's Answer #127403 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I get \"p+=+-x+%2B+62\"
\n" ); document.write( "Since \"p+=+mx+%2B+b\",
\n" ); document.write( "(1) \"20+=+42m+%2B+b\" and
\n" ); document.write( "(2) \"10+=+52m+%2B+b\"
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "\"10+=+-10m\"
\n" ); document.write( "\"m+=+-1\"
\n" ); document.write( "Put this back into (1) or (2)
\n" ); document.write( "\"20+=+-42+%2B+b\"
\n" ); document.write( "\"b+=+62\"
\n" ); document.write( "The equation is
\n" ); document.write( "\"p+=+-x+%2B+62\"
\n" ); document.write( "This predicts that they can't sell any tiles if the
\n" ); document.write( "price is $62 and they will sell 62 tiles if they
\n" ); document.write( "give them away. In reality, they would sell their
\n" ); document.write( "entire stock then, so this isn't real-world
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