Exponential Growth and Decay in Real-World Scenarios

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 9 hours?

• 4000

• 3000

• 1000

• 2000

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

• $5,000

• $7,680

• $10,000

• $12,000

A bank offers an account that compounds interest annually at a rate of 5%. If you deposit $1,000, how much will you have after 5 years?

• 1276.28

• 1200.00

• 1000.00

• 1500.00

A certain radioactive substance has a half-life of 10 years. If you start with 80 grams, how much will remain after 30 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, what will its height be after 4 years?

• 4.00 meters

• 2.93 meters

• 3.20 meters

• 2.50 meters

A population of fish in a lake decreases by 15% each year due to pollution. If there are currently 1,200 fish, how many will be left after 2 years?

• 1,000

• 1,020

• 900

• 867

A savings account has an initial deposit of $2,000 and earns 3% interest compounded annually. What will the balance be after 6 years?

• $2,750.50

• $2,100.00

• $2,388.10

• $2,500.00

A certain species of plant grows exponentially, increasing by 25% each month. If there are 200 plants now, how many will there be in 4 months?

• 488

• 400

• 300

• 600

A smartphone loses 30% of its value each year. If it was purchased for $800, what will its value be after 2 years?

• $720

• $560

• $392

• $640

A town's population is 10,000 and is growing at a rate of 4% per year. What will the population be in 5 years?

• 10500

• 13000

• 12167

• 11500