document.write( "Question 1182698: Suppose that a library contains 10,000 books now, and adds 150 books every month.\r
\n" ); document.write( "\n" ); document.write( "(a) Write an explicit formula for a linear model that describes this growth.\r
\n" ); document.write( "\n" ); document.write( "P^t
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\n" ); document.write( "\n" ); document.write( "(b) If this trend continues, how many books will the library contain in a year?\r
\n" ); document.write( "\n" ); document.write( " _____books\r
\n" ); document.write( "\n" ); document.write( "(c) How long will it be before the library contains 18,000 books? Round your answer to the nearest month.\r
\n" ); document.write( "\n" ); document.write( " _____months
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Algebra.Com's Answer #812779 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "(a) Write an explicit formula for a linear model that describes this growth.\r
\n" ); document.write( "\n" ); document.write( "\"P%28t%29=+150t%2B10000\"\r
\n" ); document.write( "\n" ); document.write( "(b) If this trend continues, how many books will the library contain in a year?\r
\n" ); document.write( "\n" ); document.write( "\"t=1year=12months\"
\n" ); document.write( "\"P%28t%29=+150%2A12%2B10000\"
\n" ); document.write( "\"P%28t%29=+11800\"
\n" ); document.write( "__\"11800\"___books will the library contain in a year\r
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\n" ); document.write( "\n" ); document.write( "(c) How long will it be before the library contains 18,000 books? Round your answer to the nearest month.
\n" ); document.write( "given \"P%28t%29=18000\"
\n" ); document.write( "\"18000=+150t%2B10000\"
\n" ); document.write( "\"18000-10000=+150t\"
\n" ); document.write( "\"8000=+150t\"
\n" ); document.write( "\"t=8000%2F150\"
\n" ); document.write( "\"t=160%2F3\"
\n" ); document.write( "\"t=53+\"
\n" ); document.write( "__\"53\"___months\r
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