Question 1179567
At the start of an experiment the number of bacteria was 100.
 This number increases so that after t minutes the number of bacteria,N, is given by the formula N = 100 × 2^t .
 Estimate the number of bacteria after 12 minutes.
{{{N = 100 * 2^t}}}
t = 12
{{{N = 100 * 2^12}}}
N = 100 * 4096
N = 409,600 no. of bacteria
:
Estimate the time, in minutes, it takes for the number of bacteria to exceed 10 000 000.
{{{100 * 2^t > 10000000}}}
{{{2^t > 10000000/100}}}
{{{2^t > 100000}}}
Use common logs
t*log(2) > log(100000)
t > {{{5/log(2)}}}
t ~ 17 minutes