Exploring Exponential Growth & Decay in Real Life

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

• 10000

• 4000

• 2000

• 8000

A bank offers a savings account with an annual interest rate of 5% compounded annually. If you deposit $1,000, how much will you have in the account after 3 years?

• 1100.50

• 1157.63

• 1050.75

• 1200.00

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?

• $10,440.12

• $12,000.00

• $8,500.00

• $15,000.00

A certain investment grows according to the formula A = P(1 + r)^t. If you invest $2,000 at an interest rate of 4% for 5 years, what will be the total amount?

• 2500.00

• 2433.31

• 2400.75

• 2300.50

The number of users on a social media platform increases exponentially. If there are currently 1,000 users and the number triples every year, how many users will there be in 2 years?

• 9000

• 3000

• 5000

• 12000

A scientist measures the decay of a radioactive substance, which decreases by 25% every year. If the initial amount is 80 grams, how much will remain after 3 years?

• 40 grams

• 50 grams

• 20 grams

• 33.75 grams

A loan of $5,000 is taken out with an interest rate of 6% compounded monthly. How much will be owed after 2 years?

• 5637.45

• $5,500.00

• $6,000.00

• $5,000.00

A tree grows at a rate of 10% per year. If the tree is currently 3 meters tall, how tall will it be after 5 years?

• 5.00 meters

• 6.00 meters

• 3.30 meters

• 4.83 meters

A city’s population is currently 150,000 and is expected to grow at a rate of 2% per year. What will the population be in 10 years?

• 200,000

• 160,000

• 175,000

• 182850

A savings account has a balance of $1,500 and earns 3% interest compounded quarterly. How much will be in the account after 4 years?

• $1,250.50

• $1,500.00

• $1,691.24

• $1,800.00