Mastering Exponential Growth: Graphs & Equations for 8th Grade

A bacteria culture doubles in size every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours? Graph the growth of the bacteria over this time period.

• 10000

• 4000

• 8000

• 2000

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, what will its height be after 5 years? Solve the equation to find the height and graph the growth over the years.

• 15 feet

• 12.76 feet

• 10 feet

• 8 feet

A savings account has an initial deposit of $1,000 and earns 6% interest compounded annually. How much money will be in the account after 10 years? Create a graph to show the growth of the account balance over time.

• $2,000.00

• $1,790.85

• $1,500.00

• $1,200.50

A population of rabbits increases by 20% each month. If there are currently 200 rabbits, how many will there be after 6 months? Write and solve the exponential equation and graph the population growth.

• 597

• 1000

• 800

• 400

A certain species of fish in a lake grows exponentially. If there are 300 fish now and the population triples every year, how many fish will there be in 4 years? Solve the equation and graph the growth.

• 24300

• 9000

• 15000

• 1200

A viral video on a social media platform gains 1,000 views on the first day and doubles its views every day. How many views will it have after 7 days? Write the exponential equation and graph the views over the week.

• 128000

• 32000

• 64000

• 256000

A city’s population is currently 50,000 and is expected to grow by 3% each year. What will the population be in 10 years? Solve the exponential equation and create a graph to illustrate the growth.

• 60000

• 67196

• 80000

• 75000

A certain type of investment grows at a rate of 8% per year. If you invest $2,000, how much will it be worth in 15 years? Solve the equation and graph the growth of the investment over time.

• $6345.60

• $4500.00

• $8000.00

• $5000.50

A new technology is adopted by 1,000 users and is expected to grow by 25% each month. How many users will there be after 5 months? Write and solve the exponential equation and graph the growth.

• 1500

• 2500

• 4000

• 3052

A certain species of plant grows at a rate of 15% per month. If you start with 50 plants, how many will you have after 8 months? Solve the equation and create a graph to show the growth of the plants.

• 173

• 150

• 200

• 100