document.write( "Question 125385This question is from textbook Intermediate Algebra Review
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document.write( ": The demand for a certain toy is such that no one will purchase it once the price reaches $7. For every $0.02 decreases in price, 1 unit more will be sold. Write the price as a function of the number of units sold.
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document.write( "How many toys would you expect to be sold if the price were set at $4.79? \n" );
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Algebra.Com's Answer #91988 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The demand for a certain toy is such that no one will purchase it once the price reaches $7. For every $0.02 decreases in price, 1 unit more will be sold. Write the price as a function of the number of units sold. \n" ); document.write( ": \n" ); document.write( "We need two sets of coordinates to find an equation x = price; y = no. sold \n" ); document.write( "This first set is given x = 7; y = 0 \n" ); document.write( ": \n" ); document.write( "Choose the 2nd set of coordinates, x = 6; y = 50, from the statement: \n" ); document.write( "\"For every $0.02 decreases in price, 1 unit more will be sold. \n" ); document.write( ": \n" ); document.write( "Find the slope m = \n" ); document.write( ": \n" ); document.write( "Find the equation using the point/slope formula: y - y1 = m(x - x1) \n" ); document.write( "x1 = 7; y1 = 0; m = -50 \n" ); document.write( "y - 0 = -50(x - 7) \n" ); document.write( "y = -50x + 350 \n" ); document.write( ": \n" ); document.write( "f(x) = -50x + 350 would be the equation: \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "How many toys would you expect to be sold if the price were set at $4.79? \n" ); document.write( "Substitute 4.79 for x \n" ); document.write( "f(4.79) = -50(4.79) + 350 \n" ); document.write( "f(4.79) = -239.5 + 350 \n" ); document.write( "f(4.79) = 110.5 ~ 110 toys sold at $4.79 \n" ); document.write( " |