document.write( "Question 887521: Sandy’s first four test scores this term are 73, 87, 81, and 76. To have at least a B
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document.write( "test grade, Sandy needs to average at least 80 on the five term tests (which count
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document.write( "equally). Let t represent Sandy’s score on the fifth test, and write an inequality that
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document.write( "describes the range of t-values that will meet Sandy’s goal.
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Algebra.Com's Answer #536764 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the formula you need is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(73 + 87 + 81 + 76 + t) / 5 >= 80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 5 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(73 + 87 + 81 + 76 + t >= 400\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "317 + t >= 400\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 317 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t >= 83\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she has to get at least an 83 on the last test.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the range of values she can get are 83 <= t <= 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100 is the upper limit because it is impossible to get more than that on any test unless they give extra credit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "extra credit to make a test score greater than 100 is not assumed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the general equation for graphing is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = (317 + x) / 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "graph this equation and place a vertical line at x = 83 and x = 100 and the value of y between those vertical lines is the range of possible averages you will be able to get.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph is shown below: \n" ); document.write( "your average will be a minimum of 80 and a maximum of 83.4. \n" ); document.write( "the range of t values is betwee 83 and 100 inclusive.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |