document.write( "Question 1098161: A small college has 3874 students in 2016 and 4798 students in 2017. If the enrollment follows a linear growth pattern find a linear function to represent the growth and find how many students the college should expect for 2018. \n" ); document.write( "
Algebra.Com's Answer #712558 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = time in years plotted on
\n" ); document.write( "horizontal axis
\n" ); document.write( "Let \"+E+\" = number of students in the
\n" ); document.write( "college at any prticular time
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\n" ); document.write( "1916 = \"+0+\"
\n" ); document.write( "1917 = \"1+\"
\n" ); document.write( "1918 = \"+2+\"
\n" ); document.write( "You are given 2 points on the line, ( t,E )
\n" ); document.write( "( 0, 3874 )
\n" ); document.write( "( 1, 4798 )
\n" ); document.write( "----------------
\n" ); document.write( "Use the general point-slope formula:
\n" ); document.write( "\"+%28+E+-+3874+%29+%2F+%28+t+-+0+%29+=+%28+4798+-+3874+%29+%2F+%28+1+-+0+%29+\"
\n" ); document.write( "\"+%28+E+-+3874+%29+%2F+t+=+924+%2F+1+\"
\n" ); document.write( "\"+E+-+3874+=+924t+\"
\n" ); document.write( "\"+E+=+924t+%2B+3874+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Check:
\n" ); document.write( "Does it go through ( 0, 3874 ) ?
\n" ); document.write( "\"+3874+=+924%2A0+%2B+3874+\"
\n" ); document.write( "\"+3874+=+3874+\"
\n" ); document.write( "OK
\n" ); document.write( "Does it go through ( 1, 4798 ) ?
\n" ); document.write( "\"+4798+=+924%2A1+%2B+3874+\"
\n" ); document.write( "\"+4798+=+4798+\"
\n" ); document.write( "OK
\n" ); document.write( "------------------------------
\n" ); document.write( "2018 = \"+2+\"
\n" ); document.write( "( E, 2 ) solve for \"+E+\"
\n" ); document.write( "\"+E+=+924%2A2+%2B+3874+\"
\n" ); document.write( "\"+E+=+1848+%2B+3874+\"
\n" ); document.write( "\"+E+=+5722+\"
\n" ); document.write( "They should expect 5722 students for 2018
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\n" ); document.write( "check the math\r
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