Analyzing Exponential Decay in Real-World Scenarios

A bacteria culture starts with 500 bacteria and decreases by 20% every hour. How many bacteria are left after 3 hours?

• 256

• 400

• 300

• 512

A car's value depreciates at a rate of 15% per year. If the car was originally worth $20,000, what will its value be after 4 years?

• $15,000.00

• $8,500.50

• $10,440.13

• $12,000.00

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

• 5 grams

• 40 grams

• 10 grams

• 20 grams

A certain type of plant loses 30% of its height each month due to environmental factors. If it starts at 120 cm, what will its height be after 2 months?

• 90 cm

• 72 cm

• 100 cm

• 58.8 cm

A population of fish in a lake decreases by 10% each year due to overfishing. If there are currently 1,000 fish, how many will be left after 5 years?

• 700

• 590

• 800

• 450

A car battery loses 25% of its charge every hour. If it starts with a full charge of 80 volts, how much charge will it have after 4 hours?

• 60 volts

• 25.3125 volts

• 10 volts

• 40 volts

A certain medication in the bloodstream decreases by 40% every hour. If a patient starts with 200 mg, how much will remain after 2 hours?

• 72 mg

• 50 mg

• 100 mg

• 120 mg

A tree's height decreases by 15% each year due to disease. If it is currently 200 cm tall, what will its height be after 3 years?

• 122.83 cm

• 100 cm

• 180 cm

• 150 cm

A computer's performance decreases by 5% each year. If it starts with a performance score of 90, what will its score be after 4 years?

• 73.31

• 80.00

• 75.00

• 65.50

A certain type of fish population decreases by 12% each year. If the initial population is 500, what will the population be after 6 years?

• 300

• 400

• 150

• 256