Exponential Growth and Decay Problem Solving

The video tutorial covers exponential growth and decay through various examples. It begins with population growth, explaining how to calculate growth factors and model population changes over time. The tutorial then shifts to exponential decay, illustrating concepts with examples like computer depreciation, animal population decline, and car value reduction. Finally, it explores exponential growth in the context of a baseball card investment, demonstrating how value increases over time.

What was the world population in 2000?

• Approximately 6.08 billion

• Nearly 6.5 billion

• About 7 billion

• Around 5.5 billion

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the annual rate of increase of the world population mentioned?

• 1.5%

• 1.26%

• 0.85%

• 2%

Tags

CCSS.HSF.LE.A.4

After how many years from 2000 did the population reach approximately 6.89 billion?

• 20 years

• 15 years

• 10 years

• 5 years

Tags

CCSS.HSF.LE.A.4

What was the initial value of the computer before depreciation?

• $6000

• $5500

• $5000

• $6500

What is the decay factor for the computer's depreciation?

• 0.75

• 0.857

• 0.914

• 0.93

Tags

CCSS.HSF-IF.C.8B

How many years will it take for the animal population to drop below 15?

• More than 60 years

• Nearly 55 years

• Around 30 years

• About 47 years

What is the decay factor for the car's depreciation per year?

• 0.91

• 0.85

• 0.95

• 0.89

Tags

CCSS.HSF-IF.C.8B

What is the value of the car after 5 years of depreciation?

• Around $6500

• More than $10000

• About $7800

• Nearly $9000

What is the annual growth rate of the baseball card's value?

• 4%

• 2%

• 5%

• 3%

What will be the value of the baseball card after 5 years?

• Nearly $65

• More than $70

• Around $60

• About $57.96