document.write( "Question 1160620: Suppose it takes 12 hours for a certain strain of bacteria to reproduce by dividing in half. If
\n" );
document.write( "35 bacteria are present to begin with, the total number present after
\n" );
document.write( "x days is \r
\n" );
document.write( "\n" );
document.write( "f(x)=35 * 4 ^ x
\n" );
document.write( "Fine the total number present after 1, 2, and 3 days. \n" );
document.write( "
Algebra.Com's Answer #783995 by Theo(13342)![]() ![]() You can put this solution on YOUR website! what this is saying is that the number of bacteria doubles every 12 hours.\ \n" ); document.write( "that means it is quadrupling every 24 hours, which is every day. \n" ); document.write( "you start with 35 on day 0. \n" ); document.write( "on day 1 you have 4 times as much as on day 0. \n" ); document.write( "on day 2, you have 4 times as much as on day 1. \n" ); document.write( "on day 3, you have 4 times as much as on day 2. \n" ); document.write( "etc.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula is: \n" ); document.write( "f = p * 4 ^ x, where x is the number of days. \n" ); document.write( "on day 0, you have 35 * 4 ^ 0 = 35. \n" ); document.write( "on day 1, you have 35 * 4 ^ 1 = 140 \n" ); document.write( "on day 2, you have 35 * 4 ^ 2 = 560 \n" ); document.write( "on day 3, you have 35 * 4 ^ 3 = 2,240\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula above assumes you start on day 0. \n" ); document.write( "if you start on day 1, then the formula becomes: \n" ); document.write( "f = p * 4 ^ (x - 1) \n" ); document.write( "using this formula, you would get: \n" ); document.write( "on day 1, you have 35 * 4 ^ 0 = 35 \n" ); document.write( "on day 2, you have 35 * 4 ^ 1 = 140 \n" ); document.write( "on day 3, you have 35 * 4 ^ 2 = 560 \n" ); document.write( "on day 4, you have 35 * 4 ^ 3 = 2,240\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since your formula assumes 4 ^ x, then i believe the first day is day 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the function can be graphed as shon below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |