Exponential Functions and Computer Value

The video tutorial explains how to calculate the annual rate of change in the value of a computer purchased in 2006 for $2,100 and worth $700 in 2010. Using an exponential function, the tutorial demonstrates how to solve for the base B and calculate the annual rate of change, which is a decrease of 24.02% per year. It also predicts the computer's value in 2013, which is approximately $307, assuming the same rate of depreciation continues.

What was the initial value of the computer in 2006?

• $700

• $3,000

• $1,500

• $2,100

What mathematical model is used to represent the computer's value over time?

• Exponential function

• Linear function

• Quadratic function

• Logarithmic function

In the exponential function, what does 'A' represent?

• The initial value

• The base year

• The exponent

• The rate of change

How do you calculate the number of years 'T' after the base year?

• Divide the base year by the current year

• Add the base year to the current year

• Subtract the base year from the current year

• Multiply the base year by the current year

What is the value of 'B' in the exponential function after solving?

• 1.0000

• 0.5000

• 1.3333

• 0.7598

What is the annual rate of change in the computer's value from 2006 to 2010?

• Decrease of 24.02%

• Decrease of 10%

• Increase of 24.02%

• Increase of 10%

How is the annual rate of change expressed in the exponential function?

• As the initial value 'A'

• As 1 + R

• As the exponent 'T'

• As the base 'B'

What is the value of 'T' for the year 2013?

• 8

• 6

• 5

• 7

Using the exponential model, what is the predicted value of the computer in 2013?

• $100

• $700

• $500

• $307

What is the significance of the base year in this problem?

• It is the year the computer was last used

• It is the year the computer was manufactured

• It is the year the computer was purchased

• It is the year the computer was sold