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
\n" ); document.write( "\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\r
\n" ); document.write( "\n" ); document.write( "a)find a linear function f that models the data.\r
\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?\r
\n" ); document.write( "\n" ); document.write( "c)use f to predict the year when the cost could reach $3.2 million.\r
\n" ); document.write( "\n" ); document.write( "I am very lost here, thanks in advance for any help!
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Algebra.Com's Answer #285081 by stanbon(75887)\"\" \"About 
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
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\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
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\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.
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\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
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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