document.write( "Question 326229: The number of insects attracted to a bright light is currently 8. If the number is expected to quadruple every 10 minutes, how long will it take for the number to reach 500? \n" ); document.write( "
Algebra.Com's Answer #233516 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The number of insects attracted to a bright light is currently 8. If the number is expected to quadruple every 10 minutes, how long will it take for the number to reach 500? \n" ); document.write( "--------------------------- \n" ); document.write( "A(t) = Ao(4)^(t/10) where t is in minutes. \n" ); document.write( "----- \n" ); document.write( "500 = 8*4^(t/10) \n" ); document.write( "--- \n" ); document.write( "4^(t/10) = 62.5 \n" ); document.write( "--- \n" ); document.write( "Take the log and solve for \"t\": \n" ); document.write( "--- \n" ); document.write( "(t/10)*log(4) = log62.5 \n" ); document.write( "----- \n" ); document.write( "t/10 = 2.9829 \n" ); document.write( "--- \n" ); document.write( "t = 29.98 \n" ); document.write( "--- \n" ); document.write( "Round up to t = 30 minutes \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |