Modeling Exponential Growth & Decay in Real Life Scenarios

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

• 10000

• 8000

• 4000

• 2000

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?

• $10,440.12

• $15,000.00

• $12,000.00

• $8,500.00

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

• 1350.50

• 1469.33

• 1200.00

• 1580.75

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

• 10 grams

• 20 grams

• 5 grams

• 40 grams

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

• 11.58 feet

• 10.25 feet

• 13.00 feet

• 12.50 feet

A certain species of fish in a lake is estimated to grow at a rate of 20% per year. If there are currently 200 fish, how many will there be after 2 years?

• 288

• 320

• 250

• 240

A bank account earns 6% interest compounded annually. If you deposit $500, how much will you have in the account after 3 years?

• $575.00

• $595.51

• $600.00

• $550.00

A certain medication decays in the body at a rate of 25% per hour. If you take a dose of 200 mg, how much will remain after 2 hours?

• 200 mg

• 112.5 mg

• 150 mg

• 75 mg

A town's population is 10,000 and is growing at a rate of 3% per year. What will the population be in 5 years?

• 11593

• 10500

• 11000

• 12000

A culture of yeast grows exponentially. If the initial amount is 300 grams and it triples every 4 hours, how much will there be after 16 hours?

• 9000 grams

• 1200 grams

• 24300 grams

• 15000 grams