document.write( "Question 146890: Please help me with this assignment. I will post the question below. I am having difficulty building an equation out of a word problem.\r
\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
\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)).\r
\n" ); document.write( "\n" ); document.write( "The homework continues but I need a help in jump starting my brain.\r
\n" ); document.write( "\n" ); document.write( "Chris
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Algebra.Com's Answer #107691 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
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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\n" ); document.write( "Points: (42,20) and (52,10)
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\n" ); document.write( "slope = (10-20)/(52-42) = -10/10 = -1
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\n" ); document.write( "p = mx+b where m = -1 and p=20 when x=42; solve for \"b\":
\n" ); document.write( "20 = -1*42 + b
\n" ); document.write( "b = 62
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\n" ); document.write( "EQUATION:
\n" ); document.write( "p = -x + 42
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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