Exponential Growth and Decay

A population of bacteria doubles every 3 hours. If there are initially 100 bacteria, how many will there be after 9 hours?

• 200

• 800

• 400

• 1200

The value of a car depreciates by 15% each year. If the car is initially worth $20,000, what will be its value after 5 years?

• $15,000

• $5,000

• $8,874

• $10,000

A radioactive substance has a half-life of 10 days. If there are initially 100 grams of the substance, how much will remain after 30 days?

• 50.5 grams

• 12.5 grams

• 25.5 grams

• 75.5 grams

The population of a city is growing at a rate of 2% per year. If the current population is 500,000, what will be the population after 10 years?

• 609,497

• 600,000

• 550,321

• 520,000

An investment earns 8% interest compounded annually. If $10,000 is invested, how much will it be worth after 5 years?

• $15,456

• $13,321

• $12,789

• $14,693

A radioactive substance has a half-life of 2 hours. If there are initially 200 grams of the substance, how much will remain after 6 hours?

• 25

• 100

• 75

• 50

The value of a property increases by 5% each year. If the property is initially worth $500,000, what will be its value after 10 years?

• $750,789

• $600,125

• $550,335

• $814,447

A population of rabbits triples every month. If there are initially 50 rabbits, how many will there be after 6 months?

• 15025

• 25986

• 36450

• 58974

An investment earns 6% interest compounded quarterly If $5,000 is invested, how much will it be worth after 10 years?

• $9156.25

• $9070.09

• $9432.08

• $9625.36

A radioactive substance has a half-life of 5 minutes. If there are initially 100 grams of the substance, how much will remain after 15 minutes?

• 12.5 grams

• 75.5 grams

• 50.5 grams

• 25.5 grams