Exponential Growth and Decay in Real World: Housing and Cars

A new car depreciates at a rate of 20% per year. If the initial value of the car is $30,000, what will its value be after 3 years?

• $19,200

• $15,360

• $23,040

• $34,560

The population of a small town is increasing at a rate of 5% per year. If the current population is 10,000, what will be the population after 5 years?

• 12,763

• 12,155

• 11,500

• 12,500

A homeowner purchases a house for $250,000. The value of the house appreciates at an annual rate of 3%. What will be the value of the house after 10 years?

• $335,979

• $289,000

• $300,500

• $348,678

A certain type of bacteria doubles in number every hour. If there are initially 100 bacteria, how many will there be after 6 hours?

• 6,400

• 12,800

• 3,200

• 6,400

• 20%

• 25%

• 15%

• 10%

If a house is worth $200,000 and its value increases by 4% each year, what will its value be in 5 years?

• $243,330

• $250,000

• $240,000

• $233,456

A radioactive substance decays at a rate of 5% per month. If the initial mass of the substance is 100 grams, what will its mass be after 12 months?

• 54.32 grams

• 60.50 grams

• 47.88 grams

• 55.99 grams

A savings account offers an annual interest rate of 2% compounded annually. If you deposit $5,000, how much money will be in the account after 10 years?

• $6,040

• $6,100

• $5,500

• $6,000

A car is initially worth $28,000 and depreciates at a rate of 15% per year. What will be the car's value after 4 years?

• $15,346

• $13,500

• $14,235

• $12,000

The population of a city grows at a rate of 3% per year. If the current population is 200,000, what will it be in 3 years?

• 218,545

• 220,000

• 219,000

• 225,000