Exploring Exponential Growth: Graphing & Solving Equations

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

• 8000

• 10000

• 4000

• 6000

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 10 years? Solve the equation to find the total amount.

• 1200.50

• 1628.89

• 2000.00

• 1500.00

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, what will its height be after 5 years? Graph the height of the tree over the years.

• 3.22 meters

• 5.5 meters

• 2.5 meters

• 4.0 meters

A car's value decreases by 15% each year. If the car is worth $20,000 now, what will its value be in 4 years? Solve the exponential equation to find the value.

• $8,500.75

• $12,000.50

• $10,440.13

• $15,000.00

A certain investment grows exponentially. If you invest $2,000 and it grows to $4,000 in 5 years, what is the annual growth rate? Graph the investment growth over time.

• 5%

• 20%

• 10.5%

• 14.87%

A population of rabbits increases by 25% each month. If there are 80 rabbits now, how many will there be in 6 months? Solve the equation to find the population size.

• 200

• 180

• 300

• 244

A smartphone's battery life decreases by 20% each year. If the battery lasts 10 hours when new, how long will it last after 3 years? Graph the battery life over the years.

• 7.2 hours

• 4.8 hours

• 5.12 hours

• 6.5 hours

A savings account has a balance of $5,000 and earns 3% interest compounded quarterly. How much will be in the account after 8 years? Solve the exponential equation to find the total amount.

• 5000.00

• 7000.00

• 6296.50

• 6000.00

A certain species of fish in a lake grows at a rate of 15% per year. If there are currently 1,000 fish, how many will there be in 3 years? Graph the fish population growth over time.

• 1521

• 2000

• 1800

• 1200

A town's population is 10,000 and is expected to grow by 4% each year. What will the population be in 10 years? Solve the exponential equation to find the future population.

• 13500

• 14802

• 12000

• 16000