Exponential Growth and Decay

A population of bacteria doubles every hour. If there are initially 100 bacteria, how many will there be after 5 hours?

• 200

• 500

• 1000

• 3200

Tags

CCSS.HSF.LE.A.4

The value of a car depreciates by 10% each year. If the car is initially worth $20,000, what will be its value after 3 years?

• $18,000

• $14,580

• $16,000

• $15,000

Tags

CCSS.HSF.BF.A.2

A radioactive substance decays at a rate of 5% per year. If there are initially 500 grams of the substance, how much will remain after 10 years?

• 200 grams

• 350 grams

• 100 grams

• 250 grams

Tags

CCSS.HSF.LE.A.4

The population of a city is growing exponentially at a rate of 3% per year. If the current population is 50,000, what will be the population after 20 years?

• 90,000

• 100,000

• 90,017.13

• 80,000

Tags

CCSS.HSF-LE.A.1C

A bank account earns 4% interest compounded annually. If $1,000 is initially deposited, how much will be in the account after 5 years?

• $1,216.65

• $1,300.00

• $1,250.00

• $1,200.00

The value of a computer decreases by 15% each year. If the computer is initially worth $1,500, what will be its value after 4 years?

• $782.01

• $900.00

• $1,050.00

• $1,200.00

Tags

CCSS.HSF.BF.A.2

A radioactive substance decays at a rate of 8% per year. If there are initially 200 grams of the substance, how much will remain after 7 years?

• 175 grams

• 150 grams

• 190 grams

• 113.38 grams

Tags

CCSS.HSF.LE.A.4

The population of a town is growing exponentially at a rate of 2.5% per year. If the current population is 10,000, what will be the population after 15 years?

• 14,310

• 13,000

• 15,000

• 14,500

A bank account earns 6% interest compounded annually. If $5,000 is initially deposited, how much will be in the account after 10 years?

• $8,395.85

• $8,000.00

• $7,000.00

• $9,000.00

The value of a house decreases by 20% each year. If the house is initially worth $200,000, what will be its value after 8 years?

• $40,000

• $64,000

• $51,200

• $128,000

Tags

CCSS.HSF.BF.A.2