Exponential Growth and Bacterial Growth

The video tutorial covers two exponential growth problems: one involving bacteria doubling every hour and another involving mosquitoes tripling every four hours. It explains how to use geometric sequences to solve these problems, providing step-by-step solutions and general formulas. The tutorial emphasizes understanding the principles behind exponential growth and how to apply them to similar problems.

What is the initial number of bacteria in the sample?

• 12

• 24

• 48

• 96

How many bacteria will there be after one hour?

• 24

• 48

• 72

• 96

What is the common ratio in the bacteria problem?

• 3

• 4

• 1

• 2

How many bacteria will there be after seven hours?

• 192

• 384

• 768

• 3072

What is the initial number of mosquitoes on the island?

• 1500

• 1000

• 2500

• 2000

How often do the mosquitoes triple in number?

• Every 2 hours

• Every 5 hours

• Every 3 hours

• Every 4 hours

What is the growth rate for the mosquitoes problem?

• 2

• 3

• 4

• 5

How many times will the mosquitoes triple in one day?

• 4

• 7

• 5

• 6

What is the number of mosquitoes after one day?

• 1,500,000

• 1,093,500

• 750,000

• 500,000

What type of problems can this exponential growth method solve?

• Linear problems

• Logarithmic problems

• Exponential growth problems

• Quadratic problems