Mastering Exponential Growth: Graphs & Equations for 8th Graders

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 time.

• 2000

• 10000

• 8000

• 4000

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be after 3 years? Solve the equation to find the value after 3 years and graph the depreciation.

• $5,000

• $10,000

• $7,680

• $12,000

A certain investment grows exponentially at a rate of 8% per year. If you invest $1,000, how much will it be worth after 10 years? Solve the exponential equation and graph the growth.

• $1,500.00

• $1,800.50

• $3,000.00

• $2,158.92

A population of rabbits increases by 50% every month. If there are initially 20 rabbits, how many will there be after 6 months? Graph the population growth over the months.

• 300

• 228

• 180

• 150

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 3 full charge cycles if it loses 30% of its life each cycle? Solve the equation and graph the battery life over cycles.

• 16 hours

• 12 hours

• 8.23 hours

• 20 hours

A savings account earns 6% interest compounded annually. If you deposit $2,000, how much will you have in the account after 5 years? Solve the exponential equation and create a graph of the account balance over time.

• $3000.00

• $2200.50

• $2500.00

• $2676.45

A viral video is shared by 100 people, and each person shares it with 3 more people every day. How many views will the video have after 4 days? Solve the exponential equation and graph the views over the days.

• 12800

• 51200

• 25600

• 6400

A certain species of fish in a lake doubles its population every year. If there are currently 200 fish, how many will there be in 5 years? Graph the population growth over the years.

• 6400

• 12800

• 800

• 3200