Question

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

Find the size of the baterial population after 20 minutes.


Find the size of the baterial population after 4 hours.

Answer 1

After half hour=30 min you have 2×2500=5000 bacteria so you can use this into your equation to write:

and:

Apply the natural logarithm ln to both sides and get:

so in units of

so your equation is now:

1] it t= 50 min substituting you get:

bacteria

2] if t= 8 h = 480 min you get:

bacteria

Explanation: