Mastering Exponential Functions: Growth and Decay Quiz

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

• 10000

• 6000

• 4000

• 8000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years?

• $12,000.00

• $10,440.12

• $15,000.00

• $8,500.00

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

• 1350.50

• 1580.75

• 1469.33

• 1200.00

The half-life of a radioactive substance is 10 years. If you start with 80 grams, how much will remain after 30 years?

• 10 grams

• 40 grams

• 20 grams

• 5 grams

A tree grows at a rate of 5% per year. If it is currently 10 feet tall, what will its height be after 3 years?

• 10.25 feet

• 12.50 feet

• 11.58 feet

• 9.75 feet

A certain species of fish in a lake is increasing exponentially. If there are currently 200 fish and the population triples every year, how many fish will there be in 2 years?

• 2400

• 1200

• 600

• 1800

A loan of $5,000 is taken out with an interest rate of 6% compounded annually. How much will be owed after 3 years?

• $5,955.08

• $5,500.00

• $6,300.00

• $5,000.00

A culture of yeast grows exponentially. If the initial amount is 250 grams and it increases by 50% every hour, how much will there be after 4 hours?

• 1265.625 grams

• 800 grams

• 1500 grams

• 1000 grams

A certain type of investment loses 20% of its value each year. If it starts at $10,000, what will its value be after 2 years?

• $5,000

• $6,400

• $8,000

• $7,200

A tree's height is modeled by the function h(t) = 15e^(0.1t), where t is time in years. What will the height of the tree be after 5 years?

• 30.12

• 24.73

• 18.45

• 22.00