Mastering Exponential Growth and Decay Models in Real Life

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

• 1000

• 8000

• 2000

• 4000

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?

• 1050.25

• 1157.63

• 1200.00

• 1100.50

A certain species of fish in a lake is known to triple in population every year. If the current population is 200, what will the population be after 2 years?

• 400

• 1800

• 1200

• 600

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

• $7,680

• $5,000

• $10,000

• $12,000

A tree grows 50% taller every year. If it is currently 2 meters tall, how tall will it be after 4 years?

• 10.125 meters

• 12 meters

• 8 meters

• 5 meters

A certain type of 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 5 days?

• 320

• 1000

• 500

• 150

A savings account has a balance of $2,000 and earns 6% interest compounded annually. What will the balance be after 5 years?

• $2,676.45

• $2,200.00

• $3,000.00

• $2,500.00

A town's population is 10,000 and is expected to grow by 4% each year. What will the population be after 3 years?

• 11500

• 11249

• 9500

• 12000

A certain investment grows by 8% each year. If you invest $5,000, how much will it be worth after 2 years?

• $6,000.00

• $7,200.00

• $4,500.00

• 5832.00

A smartphone loses 25% of its value each year. If it was purchased for $800, what will its value be after 2 years?

• 600

• 350

• 500

• 450