Mastering Exponential Functions: Growth & Decay Challenges

A bacteria culture doubles in size every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours?

• 2000

• 8000

• 4000

• 10000

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?

• $8,500.00

• $12,000.00

• $10,440.12

• $15,000.00

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, how tall will it be after 3 years?

• 9.75 feet

• 12.50 feet

• 11.58 feet

• 10.25 feet

A radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years?

• 20 grams

• 10 grams

• 5 grams

• 40 grams

A population of fish in a lake is decreasing by 10% each year. If there are currently 1,200 fish, how many will be left after 2 years?

• 972

• 1,200

• 1,080

• 1,000

A savings account earns 4% interest compounded annually. If you deposit $1,000, how much will you have in the account after 5 years?

• 1000.00

• 1500.00

• 1100.00

• 1216.65

A certain species of plant grows exponentially, doubling its height every month. If it is currently 2 inches tall, how tall will it be after 6 months?

• 256 inches

• 128 inches

• 64 inches

• 32 inches

A certain type of mold grows at a rate of 25% per day. If you start with 200 grams, how much will you have after 3 days?

• 390.625 grams

• 450 grams

• 300 grams

• 250 grams

A population of rabbits increases by 30% each year. If there are currently 150 rabbits, how many will there be after 2 years?

• 200

• 300

• 180

• 253

A car depreciates in value by 20% each year. If the car was purchased for $25,000, what will its value be after 3 years?

• $20,000

• $10,000

• $12,800

• $15,000