document.write( "Question 459368: in a bacterial culture, the number b of bacteria present is modeled by b=15000e^0.3t, where t represents times in hours since 12:00 noon.
\n" ); document.write( "a. how many bacteria will be present at 5:00pm ?
\n" ); document.write( "b. how long will it take for there to be over 120000 bacteria? \n" ); document.write( "
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in a bacterial culture, the number b of bacteria present is modeled by b=15000e^0.3t, where t represents times in hours since 12:00 noon.
\n" ); document.write( "a. how many bacteria will be present at 5:00pm ?
\n" ); document.write( "since 5pm is 5 hours after noon:
\n" ); document.write( "t = 5
\n" ); document.write( "b=15000e^(0.3*5)
\n" ); document.write( "b=15000e^1.5
\n" ); document.write( "b = 67225.3
\n" ); document.write( ".
\n" ); document.write( "b. how long will it take for there to be over 120000 bacteria?
\n" ); document.write( "set b to 120000 and solve for t
\n" ); document.write( "120000=15000e^0.3t
\n" ); document.write( "120=15e^0.3t
\n" ); document.write( "8 = e^0.3t
\n" ); document.write( "ln(8)= 0.3t
\n" ); document.write( "ln(8)/0.3 = t
\n" ); document.write( "6.93 hours = t
\n" ); document.write( "OR at
\n" ); document.write( "6:56 PM \n" ); document.write( "
\n" );