document.write( "Question 1144916: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria grows continuously, how many will there be at 7:30 pm?\r
\n" ); document.write( "\n" ); document.write( "There will be_bacteria \n" ); document.write( "

Algebra.Com's Answer #766098 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think \"continuously\" means a straight line
\n" ); document.write( "relation. You are given 2 points on a straight line.
\n" ); document.write( "( 0, 200 )
\n" ); document.write( "( 4, 379 )
\n" ); document.write( "Let $\"+N+\"$ = number of bacteria at time $\"+t+\"$ ,
\n" ); document.write( "so the given points are:
\n" ); document.write( "( t, N )
\n" ); document.write( "For noon, I set $\"+t+=+0+\"$ , so at 7:30, $\"+t+=+7.5+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( "The general equation is:
\n" ); document.write( " $\"+N+=+m%2At+%2B+b+\"$ where $\"+m+\"$ is the slope and
\n" ); document.write( " $\"+b+\"$ is the vertical intercept, $\"+N+=+200+\"$ and $\"+t+=+0+\"$
\n" ); document.write( " $\"+N+=+m%2At+%2B+200+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+m+=+%28+379+-+200+%29+%2F+%28+4+-+0+%29+\"$
\n" ); document.write( " $\"+m+=+179+%2F+4+\"$
\n" ); document.write( "so
\n" ); document.write( " $\"+N+=+%28+179%2F4+%29%2At+%2B+200+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( "At 7:30 PM, $\"++t+=+7.5+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+N+=+%28+179%2F4+%29%2A7.5+%2B+200+\"$
\n" ); document.write( "You can finish: can't find calculator\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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