Exploring Exponential Growth & Decay: Graphs & Rates

A population of 500 bacteria doubles every 3 hours. How many bacteria will there be after 12 hours? Calculate the growth rate and graph the function.

• 2000

• 4000

• 16000

• 8000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years? Calculate the decay rate and graph the function.

• $15,000.00

• $8,000.00

• $12,500.00

• $10,440.13

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, how tall will it be in 5 years? Calculate the growth rate and graph the function.

• 10 feet

• 15 feet

• 8 feet

• 12.76 feet

A savings account earns 4% interest compounded annually. If you deposit $1,000, how much will you have after 5 years? Calculate the growth rate and graph the function.

• $1,216.65

• $1,500.00

• $1,100.00

• $1,000.00

A certain species of fish decreases in population by 20% each year. If there are currently 1,000 fish, how many will be left after 3 years? Calculate the decay rate and graph the function.

• 800 fish

• 640 fish

• 512 fish

• 400 fish

A plant grows 3 inches every month. If it starts at 12 inches, how tall will it be after 6 months? Calculate the growth rate and graph the function.

• 36 inches

• 30 inches

• 24 inches

• 18 inches

A city’s population is currently 150,000 and is expected to decrease by 2% each year. What will the population be in 5 years? Calculate the decay rate and graph the function.

• 130000

• 140000

• 135588

• 145000

A bank account has $500 and earns 6% interest compounded annually. How much will be in the account after 10 years? Calculate the growth rate and graph the function.

• $600.00

• $895.42

• $750.25

• $1,000.00