Mastering Exponential Growth and Equations 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?

• 4000

• 6000

• 8000

• 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?

• $10,440.12

• $12,000.00

• $8,500.00

• $15,000.00

A bank offers an account that compounds interest annually at a rate of 5%. If you deposit $1,000, how much will you have in the account after 10 years?

• 1500.00

• 1628.89

• 1200.50

• 2000.00

A certain species of fish in a lake grows exponentially. If the population is currently 1,000 and grows by 20% each year, what will the population be in 5 years?

• 2488

• 2000

• 1500

• 3000

A certain type of tree grows at a rate of 10% per year. If a tree is currently 2 meters tall, how tall will it be after 7 years?

• 4.50 meters

• 2.20 meters

• 3.90 meters

• 5.00 meters

A virus spreads such that the number of infected individuals triples every week. If there are 10 infected individuals now, how many will there be in 4 weeks?

• 30

• 240

• 810

• 100

A city’s population is currently 150,000 and is expected to grow at a rate of 3% per year. What will the population be in 10 years?

• 201585

• 165000

• 195000

• 180000

A certain investment grows according to the formula A = P(1 + r)^t. If you invest $5,000 at an interest rate of 6% for 8 years, how much will you have at the end?

• $8,500.00

• $9,000.00

• $6,500.00

• $7,969.25

A certain type of plant grows exponentially. If it starts with 200 plants and increases by 50% each month, how many plants will there be after 6 months?

• 2000

• 2280

• 1800

• 1500

A loan of $1,200 is taken out with an interest rate of 8% compounded annually. How much will be owed after 5 years?

• $1,763.19

• $1,500.00

• $1,600.50

• $1,920.00