Mastering Exponential Functions: Growth & Decay Challenges

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

• 2000

• 8000

• 4000

• 1000

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

• $16,000

• $14,450

• $18,000

• $12,000

A certain investment grows at a rate of 8% per year. If you invest $1,000, how much will it be worth after 5 years?

• 1580.75

• 1350.50

• 1200.00

• 1469.33

A radioactive substance has a half-life of 10 years. If you start with 80 grams, how much will remain after 30 years?

• 5 grams

• 40 grams

• 10 grams

• 20 grams

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

• 8 feet

• 12.16 feet

• 15 feet

• 10 feet

A population of fish in a lake is currently 1,200 and is expected to grow by 25% each year. What will the population be after 3 years?

• 2344

• 1500

• 2000

• 1800

A certain type of mold grows exponentially. If it starts with 200 spores and doubles every 4 days, how many spores will there be after 16 days?

• 4000

• 2400

• 1600

• 3200

A bank offers a savings account with a 6% annual interest rate compounded annually. If you deposit $2,000, how much will you have after 3 years?

• $2,500.00

• $2,382.03

• $2,000.00

• $2,100.00

A certain species of plant decreases in number by 10% each year due to environmental changes. If there are currently 500 plants, how many will be left after 5 years?

• 400

• 250

• 350

• 295

A town's population is 10,000 and is growing at a rate of 3% per year. What will the population be in 10 years?

• 11000

• 13439

• 12000

• 15000