Exploring Exponential Growth: Real-World Challenges

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

• 4000

• 6000

• 10000

• 8000

A car's value decreases exponentially. If it is worth $20,000 now and loses 15% of its value each year, what will its value be after 4 years?

• 12000.50

• 10440.13

• 15000.00

• 8000.75

A certain investment grows exponentially at a rate of 8% per year. If you invest $1,000, how much will it be worth after 5 years?

• 1350.50

• 1200.00

• 1469.33

• 1580.75

A tree grows at an exponential rate, increasing its height by 25% each year. If the tree is currently 2 meters tall, how tall will it be after 3 years?

• 4.0 meters

• 2.5 meters

• 5.0 meters

• 3.90625 meters

A certain species of fish in a lake grows exponentially. If the population is currently 1,000 and doubles every year, what will the population be in 5 years?

• 8000

• 32000

• 64000

• 15000

A virus spreads exponentially. If there are 200 infected individuals and the number of infections doubles every week, how many will be infected after 4 weeks?

• 3200

• 1600

• 2400

• 4000

A savings account earns interest at an exponential rate of 5% per year. If you start with $500, how much will you have after 10 years?

• 1000.00

• 814.45

• 600.00

• 750.25

A certain type of plant grows exponentially, increasing its height by 30% each month. If it is currently 10 cm tall, what will its height be after 6 months?

• 37.13 cm

• 45 cm

• 30 cm

• 25 cm

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

• 14802

• 12000

• 16000

• 13500

A computer's processing speed doubles every 18 months. If the current speed is 2 GHz, what will the speed be after 3 years?

• 6 GHz

• 8 GHz

• 4 GHz

• 10 GHz