Zombie Population Growth and Decay

Vincent introduces exponential growth through a zombie invasion model in New York City. The problem involves calculating how long it takes for the zombie population to reach 10,000, using the equation z = a * 2.6^(0.6t). Initial conditions are set with four zombies, and calculations are made for 1 and 2 hours to understand the growth rate. Logarithms are used to solve for the time when the population reaches 10,000, resulting in approximately 13.65 hours. The video concludes with a verification of the solution.

What is the main topic discussed in the video?

• Logarithmic growth

• Exponential growth

• Quadratic growth

• Linear growth

What is the initial number of zombies in the problem?

• 100

• 50

• 4

• 10

What is the base of the exponential growth equation used in the problem?

• 2.6

• 1.5

• 3.5

• 2.0

How many zombies are there after 1 hour?

• 12

• 10

• 7

• 5

What is the approximate decimal representation of zombies after 1 hour?

• 7.09

• 7.5

• 8.0

• 6.5

How many zombies are there after 2 hours?

• 15

• 20

• 10

• 12

What is the approximate decimal representation of zombies after 2 hours?

• 12.59

• 11.5

• 13.0

• 14.5

How many new zombies were created in the first hour?

• 4

• 2

• 3

• 5

How many new zombies were created in the second hour?

• 5.5

• 6

• 4

• 7

What mathematical tool is used to solve for the time when the zombie population reaches 10,000?

• Trigonometry

• Logarithms

• Algebra

• Calculus