Exploring Real-Life Exponential Growth and Decay Problems

A population of bacteria doubles every 3 hours. If there are initially 100 bacteria, how many will there be after 9 hours?

• 400

• 1000

• 600

• 800

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

• $8,000

• $10,500

• $9,600

• $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 3 years?

• 1200.00

• 1100.50

• 1050.25

• 1157.63

A tree grows at a rate of 10% per year. If the tree is currently 4 feet tall, how tall will it be after 2 years?

• 4.84 feet

• 6.00 feet

• 5.00 feet

• 4.20 feet

A certain type of investment grows exponentially. If you invest $500 and it doubles every 5 years, how much will you have after 15 years?

• 1000

• 4000

• 8000

• 2000

The number of views on a video increases exponentially. If it starts with 200 views and doubles every week, how many views will it have after 4 weeks?

• 4000

• 2400

• 3200

• 1600

A certain species of fish in a lake doubles its population every year. If there are currently 50 fish, how many will there be in 3 years?

• 200

• 400

• 800

• 100

A smartphone's battery life decreases exponentially. If it starts at 100% and loses 25% each hour, what will the battery percentage be after 4 hours?

• 10%

• 50%

• 75%

• 31.64%

A savings account has a balance of $2,000 and earns 3% interest compounded annually. What will the balance be after 5 years?

• $2,000.00

• $2,100.00

• $2,500.00

• $2,318.55

A certain type of plant grows exponentially. If it starts at 10 cm and grows by 50% each month, how tall will it be after 3 months?

• 20 cm

• 25 cm

• 33.75 cm

• 40 cm