Exploring Exponential Growth: Equations and Applications

A bacteria culture doubles in size every 3 hours. If the initial population is 500, write an equation to represent the population after t hours and determine the population after 9 hours.

• 3000

• 4000

• 2500

• 6000

A car's value decreases by 15% each year. If the car is currently worth $20,000, write an exponential equation to represent its value after t years and find its value after 5 years.

• $10,500.00

• $12,000.00

• $15,000.00

• $8,874.00

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, write an equation to model its height after t years and calculate its height after 4 years.

• 2.50 meters

• 2.93 meters

• 4.00 meters

• 3.20 meters

A savings account earns 5% interest compounded annually. If you deposit $1,000, write an exponential equation to represent the amount in the account after t years and find the amount after 10 years.

• $2,000.00

• $1,500.00

• $1,200.00

• $1,628.89

A population of fish in a lake is currently 1,200 and is expected to grow by 25% each year. Write an equation to model the population after t years and calculate the population after 3 years.

• 2344

• 1800

• 2000

• 1500

A certain species of plant grows exponentially, increasing by 30% each month. If there are currently 150 plants, write an equation to represent the number of plants after t months and find the number after 6 months.

• 450

• 300

• 700

• 556

A smartphone's battery life decreases by 20% every year. If the battery lasts 10 hours when new, write an equation to model the battery life after t years and determine the battery life after 3 years.

• 7.2 hours

• 5.12 hours

• 6.4 hours

• 4.8 hours

A town's population is 10,000 and is growing at a rate of 4% per year. Write an exponential equation to represent the population after t years and find the population after 5 years.

• 11000

• 12155.06

• 10000

• 15000

A viral video is viewed by 1,000 people on the first day and the views double every day. Write an equation to model the views after t days and calculate the views after 7 days.

• 256000

• 32000

• 64000

• 128000

A loan of $5,000 is taken out with an interest rate of 6% compounded annually. Write an exponential equation to represent the total amount owed after t years and find the amount owed after 4 years.

• $6312.38

• $5000.00

• $7000.00

• $8000.00