Exploring Exponential Growth: Functions & Properties Quiz

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

• 8000

• 10000

• 4000

• 6000

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?

• 15000.00

• 12000.50

• 8000.75

• 10440.13

The amount of a radioactive substance decreases by half every 5 years. If you start with 80 grams, how much will remain after 15 years?

• 20 grams

• 5 grams

• 15 grams

• 10 grams

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 10 years?

• 2000.00

• 1200.50

• 1500.00

• 1628.89

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

• 1200

• 1800

• 5400

A tree grows exponentially, reaching a height of 10 feet in 5 years. If it continues to grow at the same rate, how tall will it be in 15 years?

• 50 feet

• 20 feet

• 30 feet

• 40 feet

The value of a collectible item increases exponentially. If it is currently worth $300 and its value doubles every 2 years, what will it be worth in 6 years?

• $3000

• $1200

• $2400

• $1800

A certain type of investment grows exponentially. If you invest $5,000 and it grows to $10,000 in 5 years, what will it be worth in 10 years?

• $25,000

• $20,000

• $30,000

• $15,000

A certain bacteria culture grows exponentially. If it starts with 1,000 bacteria and doubles every hour, how many bacteria will there be after 6 hours?

• 50000

• 64000

• 32000

• 128000

A loan of $1,000 is taken out with an interest rate of 8% compounded annually. How much will be owed after 3 years?

• $1,259.71

• $1,200.00

• $1,080.00

• $1,500.00