document.write( "Question 933700: Suppose the annual salary of a lecturer at a university is a linear function of the number of years of teaching experience. A lecturer with 9 years of experience is paid $41, 350. A lecturer with 15 years experience of teaching experience is paid $46, 687.
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\n" ); document.write( "A). Write a linear function to describe this situation.
\n" ); document.write( "B). Use the function to determine the salary of a lecturer with 10 years of experience.
\n" ); document.write( "C). Estimate how many years of teaching experience a lecturer must have to earn a salary of $44, 908.
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Algebra.Com's Answer #567000 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "a linear function:
\n" ); document.write( "\"y=mx%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "A). Write a linear function to describe this situation.\r
\n" ); document.write( "\n" ); document.write( "A lecturer with \"9\" years of experience is paid $\"41350\". \r
\n" ); document.write( "\n" ); document.write( "\"x=9\" and \"y=41350\"\r
\n" ); document.write( "\n" ); document.write( "\"41350=m%2A9%2Bb\" ....eq.1\r
\n" ); document.write( "\n" ); document.write( "A lecturer with 15 years experience of teaching experience is paid $\"46687\".\r
\n" ); document.write( "\n" ); document.write( "\"x=15\" and \"y=46687\"\r
\n" ); document.write( "\n" ); document.write( "\"46687=m%2A15%2Bb\" ....eq.2\r
\n" ); document.write( "\n" ); document.write( "solve this system to find \"m\" and \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"41350=9m%2Bb\" ....eq.1
\n" ); document.write( "\"46687=15m%2Bb\" ....eq.2
\n" ); document.write( "_________________.....subtract eq.1 from eq.2\r
\n" ); document.write( "\n" ); document.write( "\"46687-41350=15m%2Bb-%289m%2Bb%29\"\r
\n" ); document.write( "\n" ); document.write( "\"5337=15m%2Bcross%28b%29-9m-cross%28b%29\"\r
\n" ); document.write( "\n" ); document.write( "\"5337=6m\"\r
\n" ); document.write( "\n" ); document.write( "\"5337%2F6=m\"\r
\n" ); document.write( "\n" ); document.write( "\"m=889.5\"\r
\n" ); document.write( "\n" ); document.write( "go to eq.1 substitute m and solve for \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"41350=9%2A889.5%2Bb\" ....eq.1\r
\n" ); document.write( "\n" ); document.write( "\"41350=8005.5%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"41350-8005.5=b\"\r
\n" ); document.write( "\n" ); document.write( "\"b=33344.5\"\r
\n" ); document.write( "\n" ); document.write( "your equation is:\r
\n" ); document.write( "\n" ); document.write( "\"y=889.5x%2B33344.5\"\r
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\n" ); document.write( "\n" ); document.write( "B). Use the function to determine the salary of a lecturer with \"10\" years of experience.\r
\n" ); document.write( "\n" ); document.write( "\"x=10\"
\n" ); document.write( "\"y=889.5%2A10%2B33344.5\"
\n" ); document.write( "\"y=8895%2B33344.5\"
\n" ); document.write( "\"y=42239.5\"\r
\n" ); document.write( "\n" ); document.write( "C). Estimate how many years of teaching experience a lecturer must have to earn a salary of $\"44908\". \r
\n" ); document.write( "\n" ); document.write( "\"44908=889.5x%2B33344.5\"\r
\n" ); document.write( "\n" ); document.write( "\"44908-33344.5=889.5x\"\r
\n" ); document.write( "\n" ); document.write( "\"11563.5=889.5x\"\r
\n" ); document.write( "\n" ); document.write( "\"11563.5%2F889.5=x\"\r
\n" ); document.write( "\n" ); document.write( "\"13=x\" years of teaching experience a lecturer must have to earn a salary of $\"44908\" \r
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