Modeling Exponential Growth in Real-Life Scenarios

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

• 10000

• 4000

• 8000

• 2000

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?

• $12,000

• $9,600

• $7,680

• $10,000

A certain investment grows at a rate of 5% per year. If you invest $1,000, how much will it be worth after 10 years?

• 1628.89

• 1500.00

• 1200.50

• 2000.00

The half-life of a radioactive substance is 5 years. If you start with 80 grams, how much will remain after 15 years?

• 5 grams

• 20 grams

• 10 grams

• 40 grams

A tree grows at a rate of 10% per year. If it is currently 2 meters tall, how tall will it be after 4 years?

• 4.00 meters

• 2.93 meters

• 3.20 meters

• 2.50 meters

A certain type of bacteria grows according to the equation N(t) = N0 * e^(kt). If N0 = 100 and k = 0.03, what is the population after 10 hours?

• 135

• 120

• 200

• 150

A loan of $2,000 is taken out with an interest rate of 6% compounded annually. What will be the total amount owed after 5 years?

• $2,200.00

• $2,676.45

• $3,000.00

• $2,500.00

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

• 1 hour

• 3 hours

• 6 hours

• 12 hours

A savings account earns 4% interest compounded quarterly. If you deposit $500, how much will you have in the account after 2 years?

• 550.00

• 541.43

• 500.00

• 600.00

A certain species of fish in a lake doubles its population every year. If there are currently 200 fish, how many will there be in 5 years?

• 400

• 3200

• 12800

• 6400