Exponential Growth and Decay Problems

The video tutorial covers exponential functions, focusing on half-life and doubling time. It explains how these functions use bases of two or one-half, with an initial value represented by 'a'. The tutorial provides examples of doubling time problems, such as bacteria growth and investment growth, and halving time problems, like radioactive decay and car depreciation. The equations used involve calculating the final amount based on the initial value, base, and time variables.

What is the base used in doubling time problems?

• e

• 2

• 1/2

• 10

In a doubling time problem, what does the variable 'd' represent?

• Halving time

• Doubling time

• Time of interest

• Initial value

If a population doubles every 10 hours, how many times will it double in 30 hours?

• 1 time

• 4 times

• 2 times

• 3 times

In the bacteria example, what was the initial number of bacteria?

• 3500

• 4000

• 5000

• 6000

How much money will be in the account after 4 years if it doubles every 15 years?

• $8,800

• $9,500

• $10,580

• $11,000

What is the base used in halving time problems?

• 2

• 1/2

• 10

• e

In a halving time problem, what does the variable 'h' represent?

• Time of interest

• Halving time

• Doubling time

• Initial value

If a substance halves every 5 years, how much will remain after 15 years?

• 1/4 of the original

• 1/8 of the original

• 1/2 of the original

• 1/16 of the original

What was the initial mass of the radioactive isotope in the example?

• 75 grams

• 60 grams

• 45 grams

• 30 grams

How much is the car worth after 20 years if it halves every 3.5 years?

• $600

• $800

• $1,200

• $1,000