300 nasty bacteria escape into a lake that have ideal condit

300 nasty bacteria escape into a lake that have ideal conditions for them to reproduce and multiply. Each bacteria will divide every 90 minutes. How many bacteria will be in the lake after 3 days. Round your answers to whole numbers only.

Solution

As

A = Ao 2^n

where n = the number of divisions
A = final aount
Ao = initial amount

They double every 90 minutes. In 3 days, there are 4320 minutes. Thus, they double 4320/90 = 49 times.

Thus,

A = Ao 2^n = 300*2^49 = 1.68885*10^17 [ANSWER]