Exploring Exponential Functions and Their Real-Life Models

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

• 4000

• 8000

• 10000

• 2000

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be after 3 years? Interpret the exponential decay model.

• $7,680

• $10,000

• $12,000

• $5,000

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much will you have after 5 years? Graph the exponential growth of your investment.

• $1,100.00

• $1,500.00

• $1,000.00

• $1,276.28

A certain species of fish in a lake is estimated to grow exponentially. If the current population is 200 and it doubles every year, what will the population be in 4 years? Interpret the model and graph it.

• 1600

• 3200

• 800

• 4000

A viral video on social media gains 1,000 views in the first hour and the views double every hour. How many views will it have after 5 hours? Graph the exponential growth function.

• 8000

• 16000

• 32000

• 64000

A certain type of tree grows at a rate of 10% per year. If a tree is currently 2 meters tall, how tall will it be in 5 years? Interpret the exponential growth model and graph it.

• Approximately 5.00 meters

• Approximately 3.22 meters

• Approximately 4.00 meters

• Approximately 2.50 meters

A smartphone app has 10,000 downloads and is increasing at a rate of 15% per month. How many downloads will it have after 6 months? Graph the exponential growth and interpret the results.

• Approximately 15000 downloads after 6 months.

• Approximately 18000 downloads after 6 months.

• Approximately 25000 downloads after 6 months.

• Approximately 20113 downloads after 6 months.

A radioactive substance decays at a rate of 3% per year. If you start with 80 grams, how much will remain after 10 years? Interpret the exponential decay model and graph it.

• 100 grams

• 58.96 grams

• 45 grams

• 70 grams

A new technology is adopted by 1,000 users and is expected to grow exponentially at a rate of 25% per year. How many users will there be in 3 years? Graph the exponential growth and interpret the model.

• 1953

• 1500

• 1800

• 2200

A town's population is currently 50,000 and is growing at a rate of 4% per year. What will the population be in 10 years? Graph the exponential growth function and interpret the results.

• 50000

• 60000

• 80000

• 74012