document.write( "Question 1185412: In 2008, a school's enrollment was 400 students. In 2012, the school's enrollment was 640 students. Which linear model represents the school's enrollment, s, as a function of t, the number of years after 2005? \n" ); document.write( "

Algebra.Com's Answer #816231 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Sometimes you just have to put put up with the answers that tutor @ikleyn sometimes gives....

\n" ); document.write( "Of course the statement of the problem implies that the school existed in 2005.

\n" ); document.write( "And even if it didn't, the statement of the problem would still be valid...!

\n" ); document.write( "The change in enrollment in the 4 years from 2008 to 2012 was +240, so the slope of the graph of student enrollment is 240/4 = 60. So the linear equation is of the form

\n" ); document.write( "y=60t+b

\n" ); document.write( "Since the equation is to be with t being the number of years after 2005, use the data point (x,y)=(2008-2005,400)=(3,400) to determine b.

\n" ); document.write( " $\"400=60%283%29%2Bb\"$
\n" ); document.write( " $\"400=180%2Bb\"$
\n" ); document.write( " $\"b=220\"$

\n" ); document.write( "ANSWER: $\"y=60t%2B220\"$

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