Mastering Exponential Growth: Word Problems & Models

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

• 16000

• 4000

• 8000

• 1000

A tree grows at a rate of 5% per year. If the tree is currently 2 meters tall, what will its height be after 4 years?

• 2.43 meters

• 2.80 meters

• 2.10 meters

• 2.00 meters

A population of rabbits increases by 20% each month. If there are 150 rabbits at the start, how many will there be after 6 months?

• 180

• 448

• 600

• 300

A savings account earns 6% interest compounded annually. If you deposit $1,000, how much will you have in the account after 5 years?

• 1500.50

• 1200.00

• 1338.23

• 1000.00

A viral video on social media gains 1,000 views in the first hour and then doubles its views every hour. How many views will it have after 5 hours?

• 16000

• 32000

• 24000

• 40000

A certain species of fish in a lake grows at a rate of 15% per year. If there are currently 200 fish, how many will there be after 3 years?

• 304

• 400

• 350

• 250

A city’s population is currently 50,000 and is expected to grow by 10% each year. What will the population be in 5 years?

• 60000

• 80526

• 75000

• 90000

A certain type of investment grows at an exponential rate of 8% per year. If you invest $2,500, how much will it be worth after 10 years?

• $5,397.30

• $3,200.00

• $4,500.50

• $6,000.00

A smartphone app downloads increase by 25% each month. If there were 4,000 downloads last month, how many downloads can be expected this month?

• 5000

• 4000

• 4500

• 6000

A certain species of plant grows to twice its height every year. If a plant is currently 30 cm tall, how tall will it be after 3 years?

• 240 cm

• 180 cm

• 120 cm

• 60 cm