Modeling Exponential Growth in Real-World Scenarios

A population of bacteria doubles every 3 hours. If you start with 500 bacteria, how many will there be after 12 hours?

• 16000

• 1000

• 4000

• 8000

Tags

CCSS.HSF.LE.A.4

A car's value depreciates by 15% each year. If the car was purchased for $20,000, what will its value be after 4 years?

• $15,000

• $8,000

• $12,500

• 10440.12

Tags

CCSS.HSF.BF.A.2

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 10 years?

• 1200.50

• 2000.00

• 1628.89

• 1500.00

A certain species of fish in a lake grows exponentially. If there are currently 200 fish and the population doubles every month, how many fish will there be in 6 months?

• 10000

• 6400

• 4000

• 12800

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?

• 32000

• 16000

• 24000

• 40000

Tags

CCSS.HSF.BF.A.2

A certain type of tree grows at an exponential rate, increasing its height by 20% each year. If the tree is currently 10 feet tall, how tall will it be after 3 years?

• 17.28 feet

• 12.5 feet

• 20 feet

• 15 feet

A smartphone app has 50,000 downloads and is expected to grow exponentially at a rate of 10% per month. How many downloads will it have after 6 months?

• 100000

• 60000

• 75000

• 88578

Tags

CCSS.HSF-LE.A.1C

A city’s population is currently 1 million and is growing at a rate of 3% per year. What will the population be in 5 years?

• 1,050,000

• 1,100,000

• 1,200,000

• 1,159,274

Tags

CCSS.HSF.BF.A.2

A savings account has an initial balance of $500 and earns 4% interest compounded quarterly. How much will be in the account after 2 years?

• 550.25

• 500.00

• 541.43

• 600.00

A certain disease spreads exponentially, infecting 100 people on the first day and doubling the number of infections each subsequent day. How many people will be infected on the 7th day?

• 3200

• 25600

• 12800

• 6400

Tags

CCSS.HSF.BF.A.2