Exponential Growth Models: Real-World Applications Quiz

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

• 40 grams

• 5 grams

• 10 grams

• 20 grams

A certain bacteria doubles in number every 3 hours. If you start with 500 bacteria, how many will there be after 12 hours?

• 8000

• 16000

• 4000

• 1000

A car's value decreases by 20% each year. If the car is worth $20,000 now, what will its value be after 3 years?

• $8,000

• $15,000

• $10,240

• $12,500

A certain medication is effective for 6 hours and its concentration in the bloodstream halves every hour. If the initial concentration is 200 mg, what will be the concentration after 4 hours?

• 12.5 mg

• 25 mg

• 50 mg

• 100 mg

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, what will its height be after 2 years?

• 2.42 meters

• 2.00 meters

• 2.80 meters

• 2.20 meters

A population of fish in a lake is currently 1,000. If the population doubles every year, how many fish will there be in 4 years?

• 16000

• 8000

• 4000

• 2000

A certain isotope has a half-life of 10 days. If you start with 160 mg, how much will remain after 30 days?

• 80 mg

• 100 mg

• 20 mg

• 40 mg

A savings account earns 5% interest compounded annually. If you deposit $1,000, how much will you have after 3 years?

• 1050.25

• 1200.00

• 1100.50

• 1157.63

A certain species of plant grows exponentially. If it covers 1 square meter today and doubles in area every week, how much area will it cover in 4 weeks?

• 4 square meters

• 8 square meters

• 16 square meters

• 32 square meters

A certain type of bacteria has a half-life of 2 hours. If you start with 1,000 bacteria, how many will be left after 6 hours?

• 1000

• 125

• 250

• 500