Graphing and Solving Exponential Growth & Decay Problems

A population of rabbits doubles every year. If there are currently 50 rabbits, how many will there be in 5 years? Graph the population growth over the 5 years.

• 1000

• 1600

• 800

• 400

A bacteria culture starts with 200 bacteria and decreases by 25% each hour. How many bacteria will be left after 3 hours? Solve the exponential decay equation to find the answer.

• 84

• 100

• 150

• 50

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be in 4 years? Graph the value over the 4 years.

• $15,000.00

• $8,500.75

• $12,000.00

• $10,440.13

A tree grows at a rate of 10% per year. If the tree is currently 3 meters tall, how tall will it be in 6 years? Solve the exponential growth equation to find the height.

• 4.00 meters

• 5.31 meters

• 6.00 meters

• 7.50 meters

A certain investment grows at an annual rate of 8%. If you invest $1,000, how much will it be worth after 10 years? Graph the growth of the investment over the 10 years.

• $1,500.00

• $3,000.00

• $2,158.92

• $2,000.00

A radioactive substance decays at a rate of 5% per hour. If you start with 500 grams, how much will remain after 4 hours? Solve the exponential decay equation to find the remaining amount.

• 407.25 grams

• 375 grams

• 450 grams

• 500 grams

A population of fish in a lake is currently 1,000 and is expected to grow by 20% each year. How many fish will there be in 3 years? Graph the population growth over the 3 years.

• 1728

• 2000

• 1200

• 1500

A smartphone loses 30% of its value each year. If it is currently worth $800, what will its value be in 2 years? Solve the exponential decay equation to find the value.

• $560

• $640

• $720

• $392

A savings account earns 6% interest compounded annually. If you deposit $2,000, how much will you have after 5 years? Graph the growth of your savings over the 5 years.

• 2200.50

• 3000.00

• 2500.00

• 2676.45

A certain species of plant grows at a rate of 15% per month. If you start with 10 plants, how many will you have after 8 months? Solve the exponential growth equation to find the total number of plants.

• 50

• 40

• 34

• 25