Mastering Exponential Models: Real-World Applications Quiz

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?

• 4000

• 2000

• 8000

• 16000

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 bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 10 years?

• $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 200 fish now and the population triples every year, how many fish will there be in 3 years?

• 600

• 5400

• 1800

• 1200

A tree's height increases by 10% each year. If the tree is currently 2 meters tall, what will its height be after 5 years?

• 2.5

• 3.221

• 4.0

• 3.0

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?

• $8,590.93

• $9,000.00

• $7,500.00

• $6,800.50

A town's population is 10,000 and is expected to grow at a rate of 4% per year. What will the population be in 5 years?

• 12167

• 10500

• 13000

• 11500

A radioactive substance decays at a rate of 12% per year. If you start with 1,000 grams, how much will remain after 3 years?

• 500 grams

• 750 grams

• 681.47 grams

• 850 grams

A smartphone's price decreases by 20% each year. If the original price is $800, what will the price be after 2 years?

• $400

• $720

• $512

• $640

A savings account earns 6% interest compounded monthly. If you deposit $2,000, how much will you have after 3 years?

• 2500.00

• 2450.75

• 2393.36

• 2300.50