document.write( "Question 551189: 1. The number of workshop elves varies inversely with the number of toys produced. Eighteen elves make twenty Baby Wetsies each.
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document.write( "- Write an equation that models the relationship between the number of elves working and the amount of toys each elf makes.
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document.write( "- Use the equation to calculate the amount of toys each elf produces when all but 9 elves are sick with the flu.
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document.write( "- Create a graph of the situation.\r
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document.write( "I am not understanding what to do with this math problem. I need help. Thanks. \n" );
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Algebra.Com's Answer #359714 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i believe the implicit assumption in this problem is that the same amount of toys needs to be produced regardless of the number of elves working on them. \n" ); document.write( "if there are 18 elves working and they each produce 20 toys each then the total production is 18 * 20 = 360 toys. \n" ); document.write( "if 9 of them are sick then there are only 9 left to make 360 toys so each elf has to make 40 toys. \n" ); document.write( "the inverse variation formula is y = k/x \n" ); document.write( "y is the number of elves and x is the number of toys each produces. \n" ); document.write( "we first solve for k using known facts. \n" ); document.write( "when y = 18, x = 20 and the formula becomes: \n" ); document.write( "18 = k / 20 \n" ); document.write( "solve for k to get k = 360. \n" ); document.write( "when y is equal to 9, this formula now becomes: \n" ); document.write( "9 = k / x \n" ); document.write( "k is always equal to 360 so this formula now becomes: \n" ); document.write( "9 = 360 / x \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 360 / 9 = 40 \n" ); document.write( "with less elves working, each elf needs to produce more toys. \n" ); document.write( " \n" ); document.write( " |