Interpreting and Graphing Exponential Growth Scenarios

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

• 1000

• 4000

• 8000

• 16000

A car's value decreases by 20% each year. If the car is worth $15,000 now, what will its value be after 3 years?

• $12,000

• $5,000

• $7,680

• $10,000

A population of rabbits grows exponentially. If there are 100 rabbits now and the population doubles every month, how many rabbits will there be in 6 months?

• 8000

• 1200

• 3200

• 6400

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

• $1,276.28

• $1,200.00

• $1,100.00

• $1,500.00

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, what will its height be after 4 years?

• 2.93 meters

• 3.20 meters

• 4.00 meters

• 2.50 meters

A virus spreads exponentially. If 10 people are infected on day 1 and the number of infections doubles every day, how many people will be infected on day 5?

• 80

• 160

• 320

• 640

A certain species of fish in a lake grows exponentially. If there are 200 fish now and the population increases by 50% each year, how many fish will there be in 3 years?

• 450

• 675

• 300

• 500

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 3 cycles of charging and discharging if it retains 80% of its life each cycle?

• 10 hours

• 15.5 hours

• 20 hours

• 12.288 hours

A city’s population is currently 1 million and is expected to grow at a rate of 3% per year. What will the population be in 10 years?

• 1,100,000

• 1,500,000

• 1,200,000

• 1,343,916

A savings account earns 6% interest compounded monthly. If you start with $2,000, how much will you have in the account after 5 years?

• 3000.00

• 2800.50

• 2697.70

• 2500.00