Graphing and Interpreting Exponential Growth 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 population growth over time.

• 8000

• 2000

• 4000

• 10000

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be in 5 years? Create a model to represent this depreciation.

• $10,000.00

• $7,500.00

• $4,915.20

• $2,000.00

A bank offers an account with an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 10 years? Graph the growth of your investment over time.

• $1,200.00

• $2,000.00

• $1,500.50

• $1,628.89

A certain species of fish in a lake grows exponentially. If the current population is 200 and it increases by 50% each year, what will the population be in 4 years? Interpret the growth model you create.

• 1200

• 800

• 1013

• 600

A viral video is shared by 100 people, and each person shares it with 3 more people every hour. How many shares will there be after 5 hours? Graph the number of shares over time.

• 32000

• 50000

• 102400

• 150000

A tree's height increases exponentially. If it is currently 2 meters tall and grows at a rate of 30% per year, what will its height be in 6 years? Create a model to represent this growth.

• 3.50 meters

• 7.43 meters

• 10.00 meters

• 5.00 meters

A certain type of investment grows according to the function A(t) = 2000(1.07)^t, where A is the amount after t years. How much will the investment be worth after 8 years? Graph the function to show its growth.

• 3000

• 2500

• 4000

• 3436.37

A new technology is adopted by 1,000 users and is expected to grow exponentially at a rate of 15% per month. How many users will there be after 6 months? Interpret the exponential growth model you create.

• 2000

• 1500

• 1800

• 2294

A certain type of bacteria grows according to the model P(t) = 300e^(0.5t), where P is the population at time t in hours. How many bacteria will there be after 4 hours? Interpret the model and graph the growth.

• 1500

• 2217

• 2500

• 1800