Mastering Exponential Growth, Decay, and Graphing Skills

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.

• 400

• 800

• 1600

• 1000

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.

• 100

• 150

• 84

• 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.

• $12,000.00

• $10,440.13

• $8,500.75

• $15,000.00

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

• 6.00 meters

• 7.50 meters

• 5.31 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.

• $2,158.92

• $1,500.00

• $3,000.00

• $2,000.00

A radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years? Solve the exponential decay equation to find the remaining amount.

• 40 grams

• 5 grams

• 10 grams

• 20 grams

A savings account earns 5% interest compounded annually. If you deposit $500, how much will you have in the account after 3 years? Graph the growth of your savings over the 3 years.

• $600.00

• $500.00

• $578.81

• $550.25

A certain species of fish in a lake is decreasing at a rate of 20% per year. If there are currently 1,000 fish, how many will be left after 4 years? Solve the exponential decay equation to find the remaining fish.

• 300

• 409

• 500

• 800

A tree's height increases by 12% each year. If it is currently 2 meters tall, what will its height be in 5 years? Graph the height of the tree over the 5 years.

• Approximately 2.50 meters

• Approximately 3.52 meters

• Approximately 5.00 meters

• Approximately 4.00 meters

A population of 1,000 people is decreasing by 10% each year. How many people will be left after 3 years? Solve the exponential decay equation to find the population size.

• 800

• 729

• 600

• 500