Exploring Exponential Growth and Decay in Real Life

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours? Graph the function that represents this growth.

• 2000

• 4000

• 8000

• 10000

A car's value decreases by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years? Create a graph to show the decay of the car's value over time.

• $12,500.00

• $10,440.12

• $15,000.00

• $8,000.00

A radioactive substance has a half-life of 10 years. If you start with 80 grams, how much will remain after 30 years? Illustrate this decay on a graph.

• 40 grams

• 5 grams

• 20 grams

• 10 grams

The number of users on a social media platform increases by 25% each month. If there are currently 1,200 users, how many users will there be in 6 months? Graph the growth of users over this period.

• 3000

• 2400

• 4500

• 3663

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, how tall will it be in 10 years? Create a graph to represent the height of the tree over time.

• Approximately 16.29 feet

• Approximately 14.75 feet

• Approximately 20.00 feet

• Approximately 12.50 feet

A certain species of fish in a lake is decreasing at a rate of 10% per year. If there are currently 1,500 fish, how many will be left after 5 years? Graph the decay of the fish population.

• 600

• 885

• 1000

• 1200

A savings account earns 6% interest compounded annually. If you deposit $2,000, how much will you have after 3 years? Plot the growth of your savings over this time period.

• $2,100.50

• $2,000.00

• $2,500.00

• $2,382.03

A certain type of mold grows exponentially, doubling in size every 2 days. If you start with 100 grams, how much will you have after 10 days? Graph the growth of the mold over this time.

• 12800 grams

• 3200 grams

• 400 grams

• 6400 grams

A loan of $5,000 has an interest rate of 12% compounded annually. How much will you owe after 3 years? Create a graph to show the growth of the loan amount over time.

• $6,500.00

• $5,600.00

• $8,000.00

• $7,024.64