Mastering Exponential Growth and Decay in Real-Life Scenarios

A bacteria culture doubles in size every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours?

• 2000

• 4000

• 10000

• 8000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 3 years?

• $12,282.50

• $8,500

• $10,000

• $15,000

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, what will its height be after 4 years?

• 10.5 feet

• 12.16 feet

• 15 feet

• 11 feet

A radioactive substance decays at a rate of 25% per hour. If you start with 80 grams, how much will remain after 2 hours?

• 45 grams

• 20 grams

• 30 grams

• 60 grams

A savings account earns 6% interest compounded annually. If you deposit $1,000, how much will you have in the account after 5 years?

• 1500.00

• 1338.23

• 1200.00

• 1000.00

A population of fish in a lake decreases by 10% each year due to overfishing. If there are currently 1,200 fish, how many will be left after 2 years?

• 1,080

• 1,000

• 972

• 800

A certain type of plant grows exponentially. If it grows to 3 feet in 2 weeks, how tall will it be in 6 weeks assuming the same growth rate?

• 12 feet

• 6 feet

• 15 feet

• 9 feet

A smartphone loses 20% of its battery life every hour. If it starts with a full charge of 100%, how much battery will be left after 4 hours?

• 30%

• 50%

• 40.96%

• 60%

A certain species of rabbit doubles its population every month. If there are 50 rabbits now, how many will there be in 6 months?

• 800

• 1500

• 6400

• 3200

A chemical solution decreases in concentration by 30% every hour. If the initial concentration is 200 mg/L, what will the concentration be after 3 hours?

• 100 mg/L

• 50 mg/L

• 80 mg/L

• 68.6 mg/L