Understanding Exponential Decay in Real-World Scenarios

A bacteria culture doubles in size every 3 hours. If you start with 500 bacteria, how many will there be after 12 hours?

• 4000

• 1000

• 8000

• 16000

A radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years?

• 10 grams

• 20 grams

• 5 grams

• 40 grams

A car's value decreases by 20% each year. If the car was originally worth $25,000, what will its value be after 3 years?

• $20,000

• $12,800

• $10,000

• $15,000

A certain type of plant decays at a rate of 10% per week. If you have 200 plants, how many will remain after 4 weeks?

• 150

• 131

• 180

• 100

A population of fish in a lake decreases by 15% each year due to overfishing. If the initial population is 1,200, what will the population be after 2 years?

• 867

• 900

• 1,000

• 1,020

A certain medication in the bloodstream decreases by 25% every hour. If the initial dose is 200 mg, how much will be left after 4 hours?

• 50 mg

• 100 mg

• 63.28 mg

• 150 mg

A tree's height decreases by 5% each year due to disease. If the tree is currently 10 meters tall, what will its height be after 2 years?

• 10.5 meters

• 8.5 meters

• 9.025 meters

• 7.5 meters

A car depreciates in value by 18% each year. If the car is worth $30,000 now, what will its value be in 5 years?

• $20,000.00

• $15,000.00

• $8,000.00

• $12,546.33

A certain species of bird decreases in population by 30% each year. If there are currently 1,000 birds, how many will be left after 3 years?

• 343

• 700

• 900

• 500

A certain chemical in a lab decays at a rate of 12% per hour. If you start with 500 grams, how much will remain after 5 hours?

• 263.85 grams

• 150 grams

• 400 grams

• 200 grams