Exponential Growth: Identify & Solve for Unknowns

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 9 hours?

• 5000

• 4000

• 3000

• 2500

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

• $7,680

• $12,000

• $9,600

• $10,000

A bank offers an account that compounds interest annually at a rate of 5%. If you deposit $1,000, how much will you have after 5 years?

• 1500.00

• 1200.00

• 1000.00

• 1276.28

A certain species of fish in a lake grows exponentially. If the population is currently 200 and doubles every year, what will the population be in 4 years?

• 3200

• 1600

• 2400

• 4000

A tree grows at a rate of 10% per year. If its current height is 2 meters, what will its height be after 3 years?

• 2.662 meters

• 2.0 meters

• 2.5 meters

• 3.0 meters

A certain investment grows exponentially. If you invest $2,000 and it grows to $3,200 in 4 years, what is the annual growth rate?

• 10.5%

• 15.0%

• 13.42%

• 8.25%

A virus spreads such that the number of infected individuals doubles every day. If there are 50 infected individuals today, how many will there be in 5 days?

• 1600

• 4000

• 800

• 3200

A certain type of plant grows exponentially. If it starts with 100 plants and the number triples every month, how many plants will there be after 2 months?

• 900

• 300

• 1200

• 600

A population of rabbits increases by 25% each month. If there are currently 80 rabbits, how many will there be after 6 months?

• 100

• 244

• 300

• 200

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, assuming it retains 80% of its life each cycle?

• 15.5 hours

• 20 hours

• 12.288 hours

• 10 hours