document.write( "Question 1208016: Demand Suppose that the demand D for candy at the movie theater is inversely related to the price p. \r
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document.write( "(a) When the price of candy is $2.75 per bag, the theater sells 156 bags of candy.Express the demand for candy in terms of its price. \r
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document.write( "(b) Determine the number of bags of candy that will be sold if the price is raised to $3 a bag. \n" );
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Algebra.Com's Answer #846134 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The way the problem is presented, you are probably expected to use the equation from part (a) to answer part (b). \n" ); document.write( "However, the actual computation for inverse variation is easier if you simply use the fact that the product of the price and the number of bags is constant. \n" ); document.write( "So, in this example.... \n" ); document.write( "2.75(156) = 3.00(x) \n" ); document.write( "x = 2.75(156)/3 = 2.75(52) = 104+39 = 143 \n" ); document.write( "ANSWER: 143 bags \n" ); document.write( "A different easy way to do the computation is to use the fact that the ratio of numbers of bags is the reciprocal (inverse) of the ratio of prices. \n" ); document.write( "The price changes by a factor of 3.00/2.75 = 12/11; the number of bags must change by a factor of 11/12: \n" ); document.write( "156(11/12) = 11(13) = 143 \n" ); document.write( " \n" ); document.write( " |