Real-World Applications of Exponential Growth & Decay

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

• 4000

• 10000

• 6000

• 8000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years?

• $15,000.00

• $8,500.00

• $12,000.00

• $10,440.12

A certain species of fish in a lake is increasing in number by 25% each year. If there are currently 200 fish, how many will there be in 3 years?

• 450

• 300

• 391

• 250

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

• 40 grams

• 5 grams

• 10 grams

• 20 grams

A bank account earns 5% interest compounded annually. If you deposit $1,000, how much will you have in the account after 10 years?

• $2,000.00

• $1,500.00

• $1,628.89

• $1,200.00

A tree grows at a rate of 10% per year. If the tree is currently 3 meters tall, what will its height be after 5 years?

• 6.00 meters

• 5.00 meters

• 3.30 meters

• 4.83 meters

A certain type of mold grows exponentially. If the mold covers 1 square meter on the first day and doubles in size every day, how many square meters will it cover on the 7th day?

• 16 square meters

• 64 square meters

• 32 square meters

• 128 square meters

A population of rabbits is expected to grow exponentially. If there are currently 150 rabbits and the population increases by 30% each year, how many rabbits will there be in 2 years?

• 210

• 300

• 254

• 180

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

• 9000.00

• 8000.00

• 6000.00

• 7346.64

A certain type of bacteria decreases in number by 20% each hour. If there are initially 1,000 bacteria, how many will remain after 4 hours?

• 600

• 800

• 250

• 410