Exponential Growth & Decay: Graphing and Solving Equations

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 3 years? Graph the growth of your investment over these years.

• $1,200.00

• $1,100.50

• $1,157.63

• $1,050.00

A population of bacteria doubles every 4 hours. If you start with 500 bacteria, how many will there be after 24 hours? Solve the exponential equation to find the total population.

• 16000

• 8000

• 32000

• 4000

A car's value depreciates at a rate of 15% per year. If the car was purchased for $20,000, what will its value be after 5 years? Graph the depreciation over time.

• $12,000.00

• $5,000.00

• $8,874.37

• $10,500.50

A certain investment grows according to the formula A = P(1 + r/n)^(nt). If you invest $2,000 at an annual interest rate of 6% compounded quarterly, how much will you have after 10 years?

• 2500.00

• 3000.50

• 3612.20

• 4000.00

A tree grows at a rate of 10% per year. If the tree is currently 3 meters tall, what will its height be after 5 years? Solve the exponential equation to find the height.

• 4.83 meters

• 6.50 meters

• 5.00 meters

• 3.30 meters

A certain species of fish in a lake grows exponentially. If the current population is 1,200 and it increases by 20% each year, what will the population be after 3 years? Graph the population growth over this period.

• 1800

• 2074

• 2500

• 1500

A loan of $5,000 is taken out with an interest rate of 8% compounded monthly. How much will be owed after 2 years? Solve the exponential equation to find the total amount owed.

• $6,200.75

• $5,500.00

• $4,500.00

• 5853.50

A savings account has an initial deposit of $1,500 and earns 4% interest compounded annually. How much will be in the account after 6 years? Graph the account balance over the years.

• $1,500.00

• $1,897.98

• $2,000.00

• $1,750.50

A certain investment grows according to the formula A = Pe^(rt). If you invest $1,000 at an annual interest rate of 5% for 4 years, how much will you have? Solve the exponential equation to find the amount.

• 1100.00

• 1000.00

• 1221.40

• 1500.00

A population of a city is currently 50,000 and is expected to grow at a rate of 3% per year. What will the population be in 10 years? Graph the expected population growth over this time frame.

• 67196

• 80000

• 75000

• 60000