Graphing Growth and Decay: Fun with Real-World Models

A population of rabbits doubles every month. If there are initially 50 rabbits, how many will there be after 6 months? Graph the growth function.

• 3200

• 800

• 4000

• 1500

A car's value decreases by 15% each year. If the car is worth $20,000 now, what will its value be in 3 years? Graph the decay function.

• $12,282.50

• $8,500

• $10,000

• $15,000

A bacteria culture grows exponentially. If it starts with 200 bacteria and triples every hour, how many bacteria will there be after 4 hours? Create a graph of the growth function.

• 8000

• 24000

• 16200

• 12000

A tree grows at a rate of 2 feet per year. If it is currently 10 feet tall, how tall will it be in 5 years? Graph the growth function to show this.

• 20 feet

• 15 feet

• 30 feet

• 25 feet

A radioactive substance decays at a rate of 25% per hour. If you start with 80 grams, how much will remain after 2 hours? Graph the decay function.

• 45 grams

• 30 grams

• 60 grams

• 20 grams

A savings account earns 5% interest compounded annually. If you deposit $1,000, how much will you have after 10 years? Graph the growth function to illustrate this.

• $1,200.00

• $2,000.00

• After 10 years, you will have approximately $1,628.89.

• $1,500.50

A population of fish decreases by 10% each year due to overfishing. If there are currently 1,000 fish, how many will be left after 4 years? Create a graph of the decay function.

• 800

• 900

• 500

• 656

A plant grows 3 inches every month. If it starts at 12 inches, how tall will it be after 8 months? Graph the growth function to visualize this.

• 30 inches

• 24 inches

• 36 inches

• 42 inches

A certain species of tree loses 20% of its leaves each fall. If it starts with 500 leaves, how many will it have after 3 falls? Graph the decay function to show the change.

• 512

• 256

• 300

• 400

A city's population is projected to grow by 4% each year. If the current population is 150,000, what will it be in 5 years? Create a graph of the growth function to represent this.

• 182499

• 160,000

• 175,000

• 200,000