Exponential Growth & Decay: Real-World Problem Solving

A bacteria culture doubles in size every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours?

• 4000

• 2000

• 10000

• 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?

• $15,000.00

• $8,500.00

• $10,440.12

• $12,000.00

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

• 40 grams

• 5 grams

• 10 grams

• 20 grams

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, what will its height be after 3 years?

• 2.0 meters

• 2.5 meters

• 3.0 meters

• 2.662 meters

A certain species of fish in a lake is decreasing in population by 20% each year. If there are currently 1,000 fish, how many will be left after 2 years?

• 640

• 720

• 500

• 800

A savings account earns 5% interest compounded annually. If you deposit $1,000, how much will you have in the account after 5 years?

• 1100.00

• 1276.28

• 1000.00

• 1500.00

A certain type of mold grows exponentially. If the mold starts with 200 spores and triples every 4 days, how many spores will there be after 16 days?

• 12000

• 5400

• 8000

• 16200

A car depreciates in value according to the formula V(t) = V0 * e^(-kt), where V0 is the initial value, k is the decay constant, and t is time in years. If a car's initial value is $25,000 and k = 0.1, what will its value be after 10 years?

• 5000

• 15000

• 20000

• 9197.68

A population of rabbits increases by 25% each month. If there are 80 rabbits at the start, how many will there be after 6 months?

• 244

• 160

• 200

• 100

A certain chemical decays at a rate of 30% per hour. If you start with 50 grams, how much will remain after 3 hours?

• 10 grams

• 17.15 grams

• 5 grams

• 25 grams