- During one day, a biological culure is allowed to grow under controlled conditions.
At 8 a.m. the culture is estimated to contain 20000 bacteria. A model of the growth of the culture assumes that \(t\) hours after 8 a.m., the number of bacteria present, \(N\), is given by
$$N = 20000 \times ( 1.06 ) ^ { t } .$$
Using this model,
- find the number of bacteria present at 11 a.m.,
- find, to the nearest minute, the time when the initial number of bacteria will have doubled.