Exploring Exponential Growth and Decay in Real Life

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?

• 10000

• 6000

• 4000

• 8000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years?

• $8,500.00

• $15,000.00

• $12,000.00

• $10,440.12

A certain investment grows exponentially at a rate of 5% per year. If you invest $1,000, how much will it be worth after 10 years?

• 1500.50

• 2000.00

• 1628.89

• 1200.00

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

• 5 grams

• 40 grams

• 20 grams

• 10 grams

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, how tall will it be in 5 years?

• 4.0 meters

• 2.5 meters

• 5.0 meters

• 3.22 meters

A certain species of fish in a lake is modeled by the equation P(t) = 200e^(0.3t), where P is the population and t is time in years. What will the population be after 4 years?

• 500

• 800

• 664

• 300

A bank offers an account that compounds interest continuously at a rate of 4%. If you deposit $5,000, how much will you have after 3 years?

• 5500.50

• 5637.15

• 5000.00

• 6000.00

The number of users on a social media platform is modeled by the equation U(t) = 1000(1.2)^t. How many users will there be after 6 months?

• 2986

• 3500

• 1500

• 2500

A radioactive isotope has a decay constant of 0.693 per year. If you start with 100 grams, how much will remain after 2 years?

• 50 grams

• 10 grams

• 25 grams

• 75 grams

A city’s population is decreasing at a rate of 2% per year. If the current population is 50,000, what will the population be in 10 years?

• 50000

• 45000

• 40000

• 40856