164k views
1 vote
A bacteria culture containing 360 bacteria is started in a petri dish. After 6 hours, the bacteria population has grown to 1260 . Assume the bacteria growth is exponential.

User JWC
by
7.5k points

1 Answer

5 votes

Final answer:

Exponential growth is a concept frequently observed in bacteria populations. The growth rate of the bacteria population is approximately 1.368. By using this growth rate, we can predict the population at any given time.

Step-by-step explanation:

Exponential growth is a concept frequently observed in bacteria populations. In the given scenario, the starting population of bacteria is 360 and after 6 hours, it has grown to 1260. To calculate the growth rate, we divide the final population by the initial population raised to the power of the time interval. In this case, the growth rate can be calculated as (1260 / 360)^(1/6) = 1.368.

Therefore, the growth rate of the bacteria population is approximately 1.368. This means that every hour, the bacteria population is increasing by a factor of 1.368. By using this growth rate, we can predict the population at any given time.

User Jibesh Patra
by
8.6k points