document.write( "Question 1071629: The population of Smalltown, in thousands, t years after 1990 can be modelled using the formula S(t) = 20(t+2)/(t+3) while the population of Little City, in thousands, t years after 1990 is L(t) = 240/(10+t). During which years, after 1990, was Smalltown larger than Little City? \n" ); document.write( "

Algebra.Com's Answer #686522 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+S%28t%29+%3E+L%28t%29+\"$
\n" ); document.write( " $\"+20%2A%28+t+%2B+2+%29%2F%28+t+%2B+3+%29+%3E+240%2F%28+10+%2B+t+%29+\"$
\n" ); document.write( " $\"+%28+t+%2B+2+%29%2F%28+t+%2B+3+%29+%3E+12%2F%28+10+%2B+t+%29+\"$
\n" ); document.write( "Multiply both sides by $\"+%28+t%2B3+%29%2A%28+t+%2B+10+%29+\"$
\n" ); document.write( " $\"+%28+t+%2B+10++%29%2A%28+t+%2B+2+%29+%3E+12%2A%28+t+%2B+3+%29+\"$
\n" ); document.write( " $\"+t%5E2+%2B+12t+%2B+20+%3E+12t+%2B+36+\"$
\n" ); document.write( " $\"+t%5E2+%3E+16+\"$
\n" ); document.write( " $\"+t+%3E+4+\"$
\n" ); document.write( "1990 + 4 = 1994
\n" ); document.write( "-------------------
\n" ); document.write( "Smalltown was larger than Little City for
\n" ); document.write( "all years after 1994
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+t+%2B+2+%29%2F%28+t+%2B+3+%29+%3E+12%2F%28+10+%2B+t+%29+\"$
\n" ); document.write( " $\"+%28+4.1+%2B+2+%29%2F%28+4.1+%2B+3+%29+%3E+12%2F%28+10+%2B+4.1+%29+\"$
\n" ); document.write( " $\"+6.1%2F7.1+%3E+12%2F14.1+\"$
\n" ); document.write( " $\"+.8592+%3E+.85106+\"$
\n" ); document.write( "You can check to see that
\n" ); document.write( " $\"+S%28t%29+%3C+L%28t%29+\"$ when $\"+t+=+3.9+\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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