Exploring Exponential Growth: Real-Life Applications

A population of bacteria doubles every 3 hours. If there are initially 100 bacteria, how many will there be after 9 hours?

• 600

• 1000

• 800

• 400

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 2 years?

• $14,450

• $18,000

• $16,500

• $12,000

A certain investment grows at a rate of 5% per year. If you invest $1,000, how much will it be worth after 3 years?

• 1200.00

• 1305.25

• 1157.63

• 1100.50

A tree grows exponentially, reaching a height of 2 meters in its first year. If it doubles in height every year, how tall will it be after 4 years?

• 32 meters

• 8 meters

• 4 meters

• 16 meters

A certain type of mold grows at a rate of 50% per hour. If you start with 10 grams, how much will you have after 2 hours?

• 40 grams

• 22.5 grams

• 30 grams

• 15 grams

A smartphone's battery life decreases exponentially. If it lasts 24 hours on a full charge, how long will it last after 3 full charges?

• 1 hour

• 3 hours

• 12 hours

• 6 hours

A savings account earns interest exponentially. If you deposit $500 and it grows to $800 in 4 years, what is the annual growth rate?

• 8.5%

• 10%

• 12.94%

• 15%

A certain species of fish doubles its population every year. If there are currently 150 fish, how many will there be in 5 years?

• 2400

• 6000

• 4800

• 3000

A computer's processing speed increases exponentially. If it starts at 2 GHz and doubles every 2 years, what will its speed be after 6 years?

• 16 GHz

• 4 GHz

• 8 GHz

• 32 GHz

A tree's height is modeled by the equation h = 3(2^t), where t is the number of years. How tall will the tree be after 5 years?

• 72

• 120

• 48

• 96