Exploring Exponential Growth: Equations & Graphs for 8th Grade

A population of bacteria doubles every 3 hours. If you start with 500 bacteria, how many will there be after 12 hours? Set up the equation and solve it.

• 4000

• 10000

• 2000

• 8000

A car's value decreases by 20% each year. If the car was originally worth $20,000, what will its value be after 5 years? Write the equation and find the answer.

• $4,000.00

• $8,000.00

• $6553.60

• $10,000.00

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 10 years? Set up the exponential equation and solve it.

• $1,628.89

• $2,000.00

• $1,500.00

• $1,200.00

A certain species of fish in a lake grows exponentially. If there are currently 200 fish and the population triples every year, how many fish will there be in 4 years? Write the equation and calculate the result.

• 16200

• 12000

• 4000

• 8000

A tree grows at a rate of 1.5 times its height every year. If the tree is currently 2 meters tall, how tall will it be after 3 years? Set up the equation and solve it.

• 4.5 meters

• 3 meters

• 6.75 meters

• 9 meters

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 3 cycles of charging and discharging? Write the equation and find the answer.

• Lasts 12 hours after 3 cycles.

• Less than 24 hours after 3 cycles, exact value depends on decay constant k.

• Lasts 30 hours after 3 cycles.

• Exactly 24 hours after 3 cycles.

A viral video on social media is shared by 100 people and each person shares it with 3 more people every hour. How many shares will there be after 4 hours? Set up the exponential equation and solve it.

• 4000

• 12000

• 3000

• 8000

A certain type of investment grows at a rate of 8% per year. If you invest $5,000, how much will it be worth after 7 years? Write the equation and calculate the final amount.

• 10000.00

• 8590.93

• 9000.00

• 7500.00

A town's population is 10,000 and is increasing by 15% each year. What will the population be in 5 years? Set up the equation and solve it.

• 20114

• 18000

• 12000

• 15000

A computer's processing speed doubles every 2 years. If the current speed is 2 GHz, what will it be in 6 years? Write the equation and find the answer.

• 4 GHz

• 16 GHz

• 32 GHz

• 8 GHz