document.write( "Question 403121: The table lists the cost in millions of dollars for a 30-second super bowl commercial for the selected years.\r
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document.write( "table shows years as 1990,1994,1998,2004,2008
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document.write( "table shows cost as 0.8,1.2,1.6,2.3,2.7\r
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document.write( "a)find a linear function f that models the data.\r
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document.write( "b)estimate the cost in 1987 and compare the estimate to the actual value of $0.6 million. Did your estimate involve interpolation or extrapolation?\r
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document.write( "c)use f to predict the year when the cost could reach $3.2 million.\r
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document.write( "I am very lost here, thanks in advance for any help! \n" );
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Algebra.Com's Answer #285081 by stanbon(75887) ![]() You can put this solution on YOUR website! The table lists the cost in millions of dollars for a 30-second super bowl commercial for the selected years. \n" ); document.write( "table shows years as 1990,1994,1998,2004,2008 \n" ); document.write( "table shows cost as 0.8,1.2,1.6,2.3,2.7 \n" ); document.write( "---- \n" ); document.write( "Notice how cost increases 0.4 when years increases by 4 \n" ); document.write( "So each each year the cost increases 0.1 \n" ); document.write( "----- \n" ); document.write( "Let 1990 be represented by x = 0 and notice that \n" ); document.write( "cost is 0.8 when x = 0.\r \n" ); document.write( "\n" ); document.write( "---- \n" ); document.write( "a)find a linear function f that models the data. \n" ); document.write( "cost(x) = 0.1x + 0.8 \n" ); document.write( "=================================== \n" ); document.write( "b)estimate the cost in 1987 and compare the estimate to the actual value of $0.6 million. Did your estimate involve interpolation or extrapolation? \n" ); document.write( "--- \n" ); document.write( "c(-3) = 0.1(-3)+0.8 \n" ); document.write( "c(-3) = 0.5 \n" ); document.write( "------- \n" ); document.write( "Note: The model is not perfect as you can see that cost \n" ); document.write( "increases 0.7 in 6 years between 1998 and 2004. \n" ); document.write( "-------------------- \n" ); document.write( "c)use f to predict the year when the cost could reach $3.2 million. \n" ); document.write( "Solve 3.2 = 0.1x+0.8 \n" ); document.write( "0.1x = 2.4 \n" ); document.write( "x = 24 \n" ); document.write( "--- \n" ); document.write( "1990+24 = 2014 \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |