Exponential Functions: Growth and 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?

• 8000

• 10000

• 4000

• 2000

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?

• $15,000.00

• $8,500.00

• $12,000.00

• $10,440.12

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

• 5 grams

• 20 grams

• 40 grams

• 10 grams

The population of a town is decreasing at a rate of 2% per year. If the current population is 10,000, what will the population be in 5 years?

• 9040

• 9200

• 8500

• 9500

A certain investment grows at an annual rate of 8%. If you invest $1,000, how much will it be worth after 3 years?

• 1259.71

• 1500.00

• 1350.00

• 1100.00

A tree's height decreases by 10% each year due to disease. If the tree is currently 15 feet tall, what will its height be after 2 years?

• 12.15 feet

• 10.5 feet

• 14 feet

• 13.5 feet

A certain species of fish is decreasing in number by 5% each year. If there are currently 1,200 fish, how many will there be in 10 years?

• 900

• 718

• 600

• 1,000

A savings account earns 6% interest compounded annually. If you deposit $2,000, how much will you have after 5 years?

• 3000.00

• 2676.45

• 2500.00

• 2200.00

A population of rabbits grows exponentially. If there are 50 rabbits now and the population triples every year, how many rabbits will there be in 2 years?

• 450

• 600

• 150

• 300

A certain chemical decays at a rate of 20% per hour. If you start with 200 grams, how much will remain after 3 hours?

• 50 grams

• 102.4 grams

• 150 grams

• 80 grams