Exploring Exponential Growth and Decay in Real Life

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

• 10000

• 4000

• 6000

• 8000

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be after 3 years?

• $10,000

• $12,000

• $7,680

• $5,000

A certain investment grows exponentially at a rate of 5% per year. If you invest $1,000, how much will it be worth after 10 years?

• 1200.00

• 1500.50

• 2000.00

• 1628.89

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, how tall will it be in 5 years?

• 5.0 meters

• 2.5 meters

• 3.22 meters

• 4.0 meters

A certain species of fish in a lake triples in population every year. If there are currently 200 fish, how many will there be in 4 years?

• 4000

• 6400

• 800

• 16200

A bank offers an account that compounds interest annually at a rate of 4%. If you deposit $2,000, how much will you have after 5 years?

• 2400.75

• 2433.31

• 2500.00

• 2300.50

A radioactive substance decays exponentially, losing half of its mass every 10 years. If you start with 80 grams, how much will remain after 30 years?

• 5 grams

• 20 grams

• 15 grams

• 10 grams

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 3 full charges?

• 6 hours

• 3 hours

• 1 hour

• 12 hours

A certain type of plant grows exponentially, doubling its height every month. If it is currently 1 meter tall, how tall will it be in 6 months?

• 64 meters

• 128 meters

• 16 meters

• 32 meters

A town's population is 10,000 and is growing at a rate of 7% per year. What will the population be in 5 years?

• 13000

• 15000

• 12000

• 14026