document.write( "Question 1029823: The function f(t) 30,000/1+20e^-1.5t describes the number of people, f(t), who have become ill with influenza t weeks after the initial outbreak in a town with 30,000 inhabitants. \r
\n" ); document.write( "\n" ); document.write( "a. How many people became ill with the flu when the epidemic began?
\n" ); document.write( "b. How many people were ill by the end of the fourth week? \n" ); document.write( "

Algebra.Com's Answer #644782 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+f%28t%29+=+30000+%2F+%28+1+%2B+20%2Ae%5E%28-1.5t%29%29+\"$
\n" ); document.write( "(a)
\n" ); document.write( "When the epidemic began, $\"+t+=+0+\"$ , so
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+%28+1+%2B+20%2Ae%5E%28-1.5%2A0%29%29+\"$
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+%28+1+%2B+20%2Ae%5E0+%29+\"$
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+%28+1+%2B+20%2A1+%29+\"$
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+%28+1+%2B+20+%29+\"$
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+21+\"$
\n" ); document.write( " $\"+f%28t%29+=+1428.57+\"$
\n" ); document.write( "1,429 people became ill when
\n" ); document.write( "the epidemic began
\n" ); document.write( "-------------------------
\n" ); document.write( "(b)
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+%28+1+%2B+20%2Ae%5E%28-1.5%2A4%29+%29+\"$
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+%28+1+%2B+20%2Ae%5E%28-6%29+%29+\"$
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+%28+1+%2B+20%2A.002479+%29+\"$
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+%28+1+%2B+.04958+%29+\"$
\n" ); document.write( " $\"+f%28t%29+=+30000+%2F+1.04958+\"$
\n" ); document.write( " $\"+f%28t%29+=+28582.86+\"$
\n" ); document.write( "28,583 people were ill by the end
\n" ); document.write( "of the fourth week \n" ); document.write( "

\n" );