document.write( "Question 1055390: The first month a company was open, it had 2 employees. At the end of 6 months, the company had 10 employees. If the number of employees increases at a steady rate, write an equation that illustrates this situation.\r
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Algebra.Com's Answer #670597 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Plot \"+t+\" = time in months on the horizontal axis
\n" ); document.write( "Plot \"+E+\" = the number of employees at the end
\n" ); document.write( "of \"+t+\" months on the vertical axis
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\n" ); document.write( "You are given 2 points on a straight line:
\n" ); document.write( "( t,E ) = ( 1, 2 ) and ( 6, 10 )
\n" ); document.write( "Use the general point-slope formula
\n" ); document.write( "\"+%28+E+-+2+%29+%2F+%28+t+-+1+%29+=+%28+10+-+2+%29+%2F+%28+6+-+1+%29+\"
\n" ); document.write( "\"+%28+E+-+2+%29+%2F+%28+t+-+1+%29++=+8%2F5+\"
\n" ); document.write( "Multiply both sides by \"+5%2A%28+t-1+%29+\"
\n" ); document.write( "\"+5%2A%28+E+-+2+%29+=+8%2A%28+t+-+1+%29+\"
\n" ); document.write( "\"+5E+-+10+=+8t+-+8+\"
\n" ); document.write( "\"+5E+=+8t+%2B+2+\"
\n" ); document.write( "\"+E+=+%288%2F5%29%2At+%2B+2%2F5+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "Does it go through ( 1,2 ) ?
\n" ); document.write( "\"+E+=+%288%2F5%29%2At+%2B+2%2F5+\"
\n" ); document.write( "\"+2+=+%288%2F5%29%2A1+%2B+2%2F5+\"
\n" ); document.write( "\"+2+=+8%2F5+%2B+2%2F5+\"
\n" ); document.write( "\"+2+=+2+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "Does it go through ( 6, 10 )
\n" ); document.write( "\"+E+=+%288%2F5%29%2At+%2B+2%2F5+\"
\n" ); document.write( "\"+10+=+%288%2F5%29%2A6+%2B+2%2F5+\"
\n" ); document.write( "\"+10+=+48%2F5+%2B+2%2F5+\"
\n" ); document.write( "\"+10+=+50%2F5+\"
\n" ); document.write( "\"+10+=+10+\"
\n" ); document.write( "OK
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