document.write( "Question 1196927: The value of the Conference Board Index of 10 economic indicators in the United States could be approximated by the following function of time t in months since the end of December 2002.†
\n" ); document.write( "E(t) = \r
\n" ); document.write( "\n" ); document.write( "0.2t + 135 if 6 ≤ t ≤ 15
\n" ); document.write( "−0.2t + 141 if 15 < t ≤ 20.
\n" ); document.write( "(a)
\n" ); document.write( "Estimate
\n" ); document.write( "E(10), E(16), and E(20).
\n" ); document.write( "E(10) =
\n" ); document.write( "E(16) =
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\n" ); document.write( "Interpret your answers.
\n" ); document.write( "E(10)
\n" ); document.write( " means in
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\n" ); document.write( " of the year
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\n" ); document.write( "Correct:
\n" ); document.write( " the Conference Board Index was
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\n" ); document.write( "E(16)
\n" ); document.write( " means in
\n" ); document.write( "---Select---
\n" ); document.write( " of the year
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\n" ); document.write( " the Conference Board Index was
\n" ); document.write( " .
\n" ); document.write( "E(20)
\n" ); document.write( " means in
\n" ); document.write( "---Select---
\n" ); document.write( " of the year
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\n" ); document.write( "\n" ); document.write( " the Conference Board Index was
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\n" ); document.write( "(b)
\n" ); document.write( "Sketch the graph of E. Use your graph to estimate when the index first reached 138.
\n" ); document.write( "t =
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\n" ); document.write( "Use technology to generate a table of values for E(t) with
\n" ); document.write( "t = 6, 7, , 20.
\n" ); document.write( "t 6 7 8 9 10
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\n" ); document.write( "t 11 12 13 14 15
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\n" ); document.write( "t 16 17 18 19 20
\n" ); document.write( "E(t)
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Algebra.Com's Answer #830222 by MathLover1(20850)\"\" \"About 
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\"E%28t%29+=0.2t+%2B+135\" if \"6+%3C=+t+%3C=+15\"\r
\n" ); document.write( "\n" ); document.write( "\"E%28t%29+=+-0.2t+%2B+141\" if \"15+%3C+t+%E2%89%A4+20%0D%0A%0D%0A%0D%0A%28a%29%0D%0A%0D%0A%7B%7B%7Bt=10\" belongs to the interval \"6+%3C=+t+%3C=+15\" so we use the first formula to evaluate \"E%2810%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"E%2810%29+=0.2%2A10+%2B+135+=137\"\r
\n" ); document.write( "\n" ); document.write( "\"t=16\" belongs to the interval \"15+%3C+t+%3C=+20\" so we use the second formula to evaluate \"E%2816%29\"\r
\n" ); document.write( "\n" ); document.write( "\"E%2816%29+=++-0.2%2A16%2B+141=137.8\"\r
\n" ); document.write( "\n" ); document.write( "\"t=20\" belongs to the interval \"15+%3C+t+%3C=+20\" so we use the second formula to evaluate \"E%2820%29\"\r
\n" ); document.write( "\n" ); document.write( "\"E%2820%29+=+-0.2%2A20%2B+141=137\"\r
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\n" ); document.write( "\n" ); document.write( "since starts with the end of December \"2002\" and time \"t\" in \"months\", if \"t=10+\" it means \"10+\"months from the end of December \"2002\" will be October \"2003\"
\n" ); document.write( "and the Conference Board Index was\"+137\"\r
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\n" ); document.write( "\n" ); document.write( "if \"t=16+\" it means 16 months (\"1\" year and \"4\" months) from the end of December \"2002\" will be April \"2004\"
\n" ); document.write( "and the Conference Board Index was\"+137.8\"\r
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\n" ); document.write( "\n" ); document.write( "if \"t=20+\" means \"20+\"months (\"1\" year and \"8\" months) from the end of December \"2002\" will be August \"2004\"
\n" ); document.write( "and the Conference Board Index was \"137\"\r
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\n" ); document.write( "\n" ); document.write( "(b)
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\n" ); document.write( "\n" ); document.write( "Sketch the graph of E. Use your graph to estimate when the index first reached 138.\r
\n" ); document.write( "\n" ); document.write( "\"download\"\r
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\n" ); document.write( "\n" ); document.write( "\"t+=15\"
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\n" ); document.write( "\n" ); document.write( "(c)\r
\n" ); document.write( "\n" ); document.write( "Use technology to generate a table of values for \"E%28t%29\" with
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\n" ); document.write( "\"t+\"| \"6\" | \"7\"| \"8\" |\"9+\"|\"10\"\r
\n" ); document.write( "\n" ); document.write( "use first formula: \"E%28t%29+=0.2t+%2B+135\"\r
\n" ); document.write( "\n" ); document.write( "\"E%286%29+=0.2%2A6+%2B+135=136.2\"
\n" ); document.write( "\"E%287%29+=0.2%2A7+%2B+135=136.4\"
\n" ); document.write( "\"E%288%29+=0.2%2A8+%2B+135=136.6\"
\n" ); document.write( "\"E%289%29+=0.2%2A9+%2B+135=136.6\"\r
\n" ); document.write( "\n" ); document.write( "your table is:\r
\n" ); document.write( "\n" ); document.write( "\"t\" ....| ...\"6\" ....| ...\"7\".....|... \"8\" ....|...\"9\".... |...\"10\" ..|
\n" ); document.write( "\"E%28t%29\"| \"+136.2\"| \"136.4\" | \"136.6\" | \"136.8+\"| \"137\" | \r
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\n" ); document.write( "\n" ); document.write( "for second table use first formula, E(t) =0.2t + 135, and do same way as I did above\r
\n" ); document.write( "\n" ); document.write( "\"t\"|\"+11\"|\"+12\"|\"+13\"|\"+14\"|\"+15\"
\n" ); document.write( "\"E%28t%29\"| \"+.....\"| \".......\" | \".....\" | \"....\"| \".....\" | \r
\n" ); document.write( "\n" ); document.write( "for third table use second formula, \"E%28t%29+=+-0.2t+%2B+141\", and do same way as I did above\r
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\n" ); document.write( "\n" ); document.write( "\"t\"|\"+16\"|\"+17\"|\"+18\"|\"+19\"|\"+20\"
\n" ); document.write( "\"E%28t%29\"| \"+.....\"| \".......\" | \".....\" | \"....\"| \".....\" | \r
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