Exploring Exponential Growth and 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?

• 8000

• 2000

• 4000

• 10000

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?

• $15,000.00

• $10,440.12

• $8,500.00

• $12,000.00

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?

• 1469.33

• 1580.75

• 1350.50

• 1200.00

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

• 5 grams

• 20 grams

• 10 grams

• 40 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?

• 11.58 feet

• 10.25 feet

• 12.50 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?

• 1200

• 2400

• 1800

• 600

A car depreciates in value according to the equation V(t) = 25,000(0.85)^t, where t is the number of years. What will the value of the car be after 3 years?

• 12000.00

• 20000.00

• 18000.50

• 15353.13

A certain type of mold grows at a rate of 20% per day. If you start with 50 grams, how much will you have after 5 days?

• 124.42 grams

• 200 grams

• 150 grams

• 100 grams

A bank offers a savings account with a 6% annual interest rate compounded annually. If you deposit $2,000, how much will you have after 10 years?

• 4000.00

• 3581.69

• 2500.00

• 3000.50

A certain tree species has a growth model described by the equation h(t) = 4(1.1)^t, where h is the height in feet and t is the number of years. What will the height be after 5 years?

• 7.20 feet

• 5.00 feet

• 6.44 feet

• 8.50 feet