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?

• 3000

• 2000

• 1000

• 4000

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?

• $14,450

• $16,000

• $18,000

• $12,000

A certain species of fish in a lake is increasing at a rate of 10% per year. If there are currently 1,000 fish, how many will there be in 5 years?

• 1200

• 2000

• 1500

• 1611

A bank account earns interest at a rate of 5% compounded annually. If you deposit $1,000, how much will be in the account after 3 years?

• 1050.25

• 1200.00

• 1100.50

• 1157.63

A radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years?

• 10 grams

• 20 grams

• 40 grams

• 5 grams

A town's population is decreasing by 2% each year. If the current population is 50,000, what will the population be in 4 years?

• 48000

• 45000

• 50000

• 46118

A tree grows at a rate of 8% per year. If the tree is currently 2 meters tall, how tall will it be in 3 years?

• 2.10 meters

• 2.52 meters

• 3.00 meters

• 2.00 meters

A certain investment grows at an annual rate of 12%. If you invest $5,000, how much will it be worth after 4 years?

• $8,500.00

• $7,874.00

• $6,500.00

• $9,000.00

A culture of yeast grows exponentially. If the initial amount is 200 grams and it triples every hour, how much will there be after 4 hours?

• 6000 grams

• 800 grams

• 2400 grams

• 16200 grams

A certain type of mold decays at a rate of 25% per day. If you start with 160 grams, how much will remain after 3 days?

• 100 grams

• 80 grams

• 67.5 grams

• 50 grams