Problema Solution

A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 70 bacteria.

How long will it take for the number of bacteria to reach 4,480?

Answer provided by our tutors

A=P(1+r)^t


4480=70(1+1)^t

64=2^t

ln 64 / ln 2 = t

6=t

it would take 6 half-hour periods

3 hours


5760=90 * 2^t

64 = 2^t

ln 64 / ln 2 = t

6 = t