Exploring Exponential Growth: Real-Life Applications

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, write an exponential equation to represent the population after t hours. How many bacteria will there be after 12 hours?

• 10000

• 8000

• 4000

• 6000

A car's value decreases by 15% each year. If the car is currently worth $20,000, create an exponential equation to model its value over time. What will the car be worth after 5 years?

• $12,000.00

• $15,000.00

• $5,000.00

• $8,874.00

A bank offers an interest rate of 4% compounded annually. If you deposit $1,000, write an exponential equation to represent the amount of money in the account after t years. How much will you have after 10 years?

• $1,200.00

• $1,600.00

• $1,350.50

• $1,480.24

A certain species of fish in a lake is known to grow at a rate of 10% per year. If there are currently 200 fish, formulate an exponential equation to model the fish population over time. How many fish will there be in 5 years?

• 250

• 400

• 180

• 322

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, write an exponential equation to represent its height after t years. What will be the height of the tree after 8 years?

• 12.50 feet

• 14.69 feet

• 16.00 feet

• 10.00 feet

A smartphone's battery life decreases by 20% every year. If the battery lasts for 24 hours when new, create an exponential equation to model the battery life over time. How long will the battery last after 3 years?

• 12.288 hours

• 8 hours

• 10.5 hours

• 15 hours

A town's population is 10,000 and is expected to grow by 3% each year. Write an exponential equation to represent the population after t years. What will the population be after 10 years?

• 12000

• 15000

• 13439.16

• 10000

A savings account earns 6% interest compounded monthly. If you start with $500, formulate an exponential equation to model the account balance over time. How much will you have after 2 years?

• 500.00

• 550.50

• 563.74

• 600.00

A certain type of plant grows at a rate of 15% per month. If there are currently 50 plants, write an exponential equation to represent the number of plants after t months. How many plants will there be after 6 months?

• 100.63

• 90.25

• 75.50

• 120.00

A video game character's experience points double every time they level up. If they start with 100 experience points, create an exponential equation to model their experience points after n levels. How many experience points will they have after 5 levels?

• 2400

• 1600

• 4000

• 3200