Bacterial Growth and Population Dynamics

This video tutorial focuses on solving math problems related to bacterial growth. It covers deriving formulas to express bacterial population as a function of time, calculating population after a specific time, and determining the time required for a population to reach a certain size using logarithms. Examples include bacteria doubling every three hours, tripling every four hours, and growing at a rate of 23% every 15 minutes.

What is the initial population of bacteria in the petri dish?

• 100

• 500

• 200

• 50

If a population doubles every three hours, what is the growth factor?

• 1

• 4

• 2

• 3

After how many hours will the bacterial population reach approximately 2540?

• 14

• 12

• 16

• 15

What mathematical tool is used to solve for time when the population reaches a certain number?

• Trigonometry

• Algebra

• Calculus

• Logarithms

How long will it take for the bacterial population to reach 500,000?

• 45 hours

• 36.86 hours

• 30.5 hours

• 40 hours

In the new problem, how often does the bacterial population triple?

• Every 5 hours

• Every 2 hours

• Every 3 hours

• Every 4 hours

What is the initial population in the tripling bacteria problem?

• 50

• 100

• 150

• 200

What is the growth rate in the problem where bacteria grows every 20 minutes?

• 10%

• 20%

• 15%

• 17%

How many 20-minute periods are there in five hours?

• 10

• 12

• 18

• 15

What is the approximate population of bacteria after five hours in the growth rate problem?

• 12,000

• 15,000

• 10,539

• 8,000