Question

A bacteria culture started with 200 bacteria at 2 p.m. After 1 hour, the population

has grown to 240 bacteria. Assume the population grows exponentially (geometric).
1. Find an explicit formula that gives the number of bacteria n hours after 2 p.m.
2. Use your formula to find the number of bacteria at 9 p.m. Round your answer
to nearest integer.

Answer 1

The equation would be:

200+200x=b

x is equal to hours, while b is equal to bacteria.

Every day has 24 hours.

24*5= 120

Plug it in.

200+200(120)=

24200= 5 days of bacteria

I hope this helped you!