A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of the baterial population after 20 minutes.

Question

A bacteria culture initially contains 2500 bacteria and doubles every half hour. 

Find the size of the baterial population after 20 minutes. 

Answer 1

Let t = 30 minute intervals. That gives us the equation A = 2500(2)^t.

20 minutes is 2/3 of 30 so we let t = 2/3

A = 2500(2)^2/3

A = 3968.5 so 3968