Precalculus one math

Question

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

Find the size of the baterial population after 100 minutes.    

Find the size of the baterial population after 8 hours. 

Answer 1

Formula: A = I (2)^(t/30)

A is the amount you end up with

I is your starting amount

2 is your multiplier

exponent is the number of times it will double

A = 2500(2)^(100/30)

A =25198.421

second part

A = 2500(2)^(16). There are sixteen half hours in eight hours.

A = 163840000 in eight hours