Depreciation and Function Notation

This video tutorial explores two mathematical contexts: one with a constant rate of change and another with a constant percentage change. It examines how the resale value of electronic devices, like cell phones, changes over time. The ITC device's value decreases by 30% annually, while the Dino Systems device's value decreases by $45 each year. The video includes warm-up questions, table completion, pattern exploration, and function notation to deepen understanding.

What are the two types of changes compared in the video?

• Constant rate of change and variable rate of change

• Constant rate of change and constant percentage change

• Variable rate of change and variable percentage change

• Constant percentage change and variable percentage change

How does the ITC device's value change each year?

• Decreases by 30%

• Increases by $45

• Increases by 30%

• Decreases by $45

What is the annual depreciation of the Dino System device?

• $45 increase

• 30% increase

• $45 decrease

• 30% decrease

What does Part A of the problem ask you to do?

• Explore patterns in the data

• Predict the resale value after 6 years

• Calculate the first year's depreciation

• Complete the table

What is the focus of Part B in the problem?

• Using intuition to guess the greater resale value after 6 years

• Exploring patterns in the data

• Calculating the first year's depreciation

• Completing the table

What variable represents the resale value of the ITC device?

• T

• S

• R

• N

What should you do after determining the values for S?

• Submit your answers

• Find a second strategy for the same values

• Move to the next question

• Recalculate the values

What does the delta T column represent?

• The change in device type

• The change in percentage

• The change in resale value

• The change in time

How does the value of N change each year?

• Decreases by 30%

• Decreases by $45

• Increases by 30%

• Increases by $45

What is the purpose of exploring patterns in the table?

• To complete the table

• To draw mathematical generalizations

• To find errors in calculations

• To predict future values