Question

Bacteria colonies can triple in size every 4 days. if you start with 48 bacteria microorganisms , how large would the colony be after 12 days?

Equation: 48(1+__)^

Answer 1

1,296

Explanation:

On day 0 we have 48 bacteria microorganisms.

Then on day 4, we have 48x 3 = 144 bacteria microorganisms.

On day 8 we have 144 x 3 = 432 bacteria microorganisms.

And finally On day 12, there are 432 x 3 = 1,296 bacteria microorganisms.

Thee colony tripled 3 times in 12 days, which is :

12 / 4 = 3 times.

Hence on day 12 our colony size was:

48x 3 x 3 x 3

=48(3^³)

= 48 x 27 = 1,296

Therefore On day 12, there are 1,296 bacteria microorganisms