Tablet Value Depreciation Concepts

The video tutorial explains how a tablet computer depreciates in value over time using an exponential function. Starting with an initial value of $1,500, the tablet loses 12% of its value each year, retaining 88%. The tutorial demonstrates how to model this depreciation with the function V(t) = 1500 * 0.88^t, where t is the number of years since purchase. It calculates the tablet's value after three years and determines when the value will be half of the original using logarithms, concluding that this occurs after approximately 5.4 years.

What is the initial value of the tablet computer?

• $2,000

• $1,500

• $1,200

• $1,800

By what percentage does the tablet computer lose its value each year?

• 10%

• 12%

• 15%

• 20%

What is the base of the exponential function representing the tablet's value?

• 0.12

• 0.88

• 1.12

• 1.88

How much value does the tablet retain after one year?

• 88%

• 50%

• 100%

• 12%

What is the value of the tablet after three years?

• $1,400.00

• $1,300.00

• $1,200.00

• $1,022.21

How do you calculate the value of the tablet after a certain number of years?

• Multiply the initial value by 0.88 raised to the power of the number of years

• Multiply the initial value by 1.12 raised to the power of the number of years

• Divide the initial value by 0.88 raised to the power of the number of years

• Add 0.88 to the initial value for each year

What is the equation used to find when the tablet's value is half of its original value?

• 1,500 = 750 * 1.12^T

• 1,500 = 750 * 0.88^T

• 750 = 1,500 * 0.88^T

• 750 = 1,500 * 1.12^T

What mathematical method is used to solve for the time when the tablet's value is half?

• Algebra

• Geometry

• Trigonometry

• Logarithms

What is the approximate time it takes for the tablet's value to be half of its original value?

• 4.5 years

• 3.2 years

• 6.7 years

• 5.4 years

What is the natural log of 0.5 divided by the natural log of 0.88 used for in this context?

• To find the initial value

• To calculate the time when the value is half

• To find the base of the exponential function

• To determine the percentage loss each year