Growth and Decay: Calculating Rates and Graphing Functions

A bacteria culture doubles in size every 3 hours. If the initial amount is 500 bacteria, how many will there be after 9 hours? Calculate the growth rate and graph the exponential function.

• 1000

• 4000

• 2000

• 3000

A car's value decreases by 15% each year. If the car is worth $20,000 now, what will its value be after 4 years? Calculate the decay rate and represent it on a graph.

• $12,500.00

• $8,000.00

• $15,000.00

• $10,440.13

A radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years? Calculate the decay and graph the exponential decay function.

• 5 grams

• 20 grams

• 10 grams

• 40 grams

A population of fish in a lake decreases by 10% each year due to overfishing. If there are currently 1,200 fish, how many will be left after 3 years? Calculate the decay rate and create a graph to show the population decline.

• 875

• 1100

• 1000

• 900

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, how tall will it be in 5 years? Calculate the growth and graph the exponential growth function.

• Approximately 12.76 feet

• Approximately 10.5 feet

• Approximately 8 feet

• Approximately 15 feet

A certain type of mold grows at a rate of 25% per day. If you start with 200 grams of mold, how much will you have after 4 days? Calculate the growth rate and graph the function.

• 400 grams

• 488.28 grams

• 600 grams

• 300 grams

A car depreciates in value by 20% each year. If the car is currently valued at $15,000, what will its value be after 2 years? Calculate the decay and represent it on a graph.

• $12,000

• $8,000

• $9,600

• $10,800

A population of rabbits decreases by 30% each year due to a disease. If there are 500 rabbits now, how many will be left after 2 years? Calculate the decay rate and graph the exponential decay function.

• 400 rabbits

• 150 rabbits

• 300 rabbits

• 245 rabbits

A savings account earns 4% interest compounded annually. If you deposit $1,000, how much will you have after 3 years? Calculate the growth and graph the exponential growth function.

• $1,124.86

• $1,100.00

• $1,200.00

• $1,050.00

A certain species of plant grows at a rate of 10% per month. If you start with 50 plants, how many will you have after 6 months? Calculate the growth rate and create a graph to illustrate the growth.

• 88

• 75

• 100

• 60