Mastering Growth Formulas: Exponential Challenges for 8th Graders

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

• 10000

• 6000

• 8000

• 4000

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 3 years?

• $1,150.00

• $1,157.63

• $1,200.00

• $1,100.00

A tree grows at a rate of 10% per year. If the tree is currently 4 feet tall, what will its height be after 5 years?

• 8.00 feet

• 6.44 feet

• 5.00 feet

• 7.20 feet

A certain species of fish in a lake is known to double its population every year. If there are currently 200 fish, how many will there be after 4 years?

• 400

• 2400

• 1600

• 3200

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

• $10,800

• $8,000

• $9,600

• $12,000

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

• $2,000.00

• $2,500.00

• $2,323.20

• $2,100.00

A certain type of plant grows to half its height every month. If it is currently 60 cm tall, how tall will it be after 3 months?

• 15 cm

• 7.5 cm

• 30 cm

• 45 cm

A town's population is 10,000 and is growing at a rate of 4% per year. What will the population be in 5 years?

• 12167

• 10500

• 11500

• 13000

A loan of $5,000 is taken out with an interest rate of 6% compounded annually. How much will be owed after 4 years?

• 5000.00

• 6000.00

• 7000.00

• 6312.38

A viral video is viewed by 1,000 people on the first day and the views double each day. How many views will it have on the 7th day?

• 128000

• 32000

• 64000

• 256000