Applying Exponential Models 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

• 5000

• 2500

• 3000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 2 years?

• $16,000

• $18,000

• $12,000

• $14,450

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 3 years?

• 1200.00

• 1157.63

• 1050.25

• 1100.50

A certain species of fish in a lake grows at a rate of 10% per year. If there are currently 200 fish, how many will there be in 5 years?

• 400

• 180

• 322

• 250

A city’s population is 1 million and is expected to grow by 4% each year. What will the population be in 4 years?

• 1100000

• 1169858

• 1150000

• 1200000

A radioactive substance decays at a rate of 25% per hour. If you start with 80 grams, how much will remain after 3 hours?

• 40 grams

• 50 grams

• 33.75 grams

• 20 grams

A smartphone loses 20% of its value each year. If it was purchased for $800, what will its value be after 3 years?

• $640.00

• $512.00

• $720.00

• $409.60

A tree grows at a rate of 15% per year. If it is currently 10 feet tall, how tall will it be after 4 years?

• 12.5 feet

• 20 feet

• 15 feet

• 17.49 feet

A savings account has an initial deposit of $500 and earns 6% interest compounded annually. How much will be in the account after 5 years?

• 600.00

• 669.11

• 500.00

• 750.00

A virus spreads in a population, doubling the number of infected individuals every day. If there are 10 infected individuals today, how many will there be in 7 days?

• 640

• 1280

• 2560

• 5120