Exponential Growth and Decay Rates

The video tutorial covers solving exponential growth and decay word problems. It begins with an introduction to the exponential growth and decay formula, followed by examples illustrating both concepts. The examples include a pig's value increasing, a picture's value decreasing, zoo attendance rising, a portrait's value dropping, and a house's value growing. Each example demonstrates how to apply the formula to real-world scenarios, converting percentages to decimals and calculating the final values over time.

What is the formula for exponential growth and decay?

• y = a + r * T

• y = a * (1 ± r)^T

• y = a * (1 + r) * T

• y = a * r^T

In the pig value problem, what is the initial value of the pig?

• $10,000

• $20,000

• $5,000

• $15,000

What is the annual growth rate of the pig's value?

• 65%

• 60%

• 55%

• 50%

In the picture value problem, what is the initial value of the picture?

• $720

• $520

• $420

• $620

What is the annual decay rate of the picture's value?

• 11.5%

• 10.5%

• 9.5%

• 8.5%

What is the initial attendance at the underground petting zoo?

• 10,000

• 12,000

• 15,000

• 18,000

What is the annual growth rate of the petting zoo's attendance?

• 8.9%

• 5.9%

• 6.9%

• 7.9%

In the haunted portrait problem, what is the initial value of the portrait?

• $20,000

• $22,000

• $25,000

• $28,000

What is the annual decay rate of the haunted portrait's value?

• 15%

• 14%

• 13%

• 12%

If the decay rate is semi-annual, how many times is the rate applied in a year?

• Three times

• Twice

• Four times

• Once