Bacterial Growth and Volume Calculations

Mr. Holcomb presents a lesson on writing and evaluating expressions with exponents. The lesson includes three examples: folding paper to demonstrate exponential growth, understanding bacterial reproduction through binary fission, and calculating the volume of rectangular solids using dimensions and ratios. Each example illustrates the concept of exponential growth and how it can be represented mathematically.

What is the main focus of Lesson 22?

• Understanding linear functions

• Graphing inequalities

• Writing and evaluating expressions with exponents

• Solving quadratic equations

How many times did Mr. Holcomb predict a piece of paper could be folded in half?

• Eleven times

• Nine times

• Seven times

• Five times

What is the relationship between the number of folds and the number of layers in the paper folding example?

• Layers double for each fold

• Layers increase by 3 for each fold

• Layers triple for each fold

• Layers increase by 5 for each fold

In the bacterial infection example, what process do bacteria use to reproduce?

• Meiosis

• Mitosis

• Binary fission

• Photosynthesis

How many generations are needed for bacteria to exceed 1 million in number?

• 15 generations

• 18 generations

• 20 generations

• 22 generations

If bacteria reproduce every 15 minutes, how long will it take to reach over 1 million bacteria?

• 4 hours

• 3 hours

• 6 hours

• 5 hours

What is the formula for calculating the volume of a rectangular solid?

• Length + Width x Height

• Length x Width + Height

• Length x Width x Height

• Length + Width + Height

If the width of a rectangular solid is 5, what is the height if it is twice the width?

• 5

• 10

• 20

• 15

What is the volume of a rectangular solid with dimensions 3W, W, and 2W?

• 3W^3

• 6W^3

• 9W^3

• 12W^3

If W is 2, what is the volume of the rectangular solid?

• 192

• 96

• 48

• 24