Graphing and Interpreting Exponential Growth Models

A bacteria culture doubles in size every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours? Graph the population over time.

• 10000

• 8000

• 2000

• 4000

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

• $4915.20

• $7,500.00

• $10,000.00

• $3,000.00

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

• $1,500.50

• $2,000.00

• $1,628.89

• $1,200.00

A tree grows at a rate of 1.5 times its height each year. If the tree is 2 feet tall now, how tall will it be in 4 years? Interpret the growth model you create.

• 8 feet

• 10.125 feet

• 12 feet

• 5.5 feet

A population of fish in a lake is modeled by the function P(t) = 200e^(0.3t), where t is the time in years. How many fish will there be after 5 years? Graph the population function.

• 896

• 500

• 1200

• 750

A smartphone's battery life decreases exponentially. If it starts at 100% and loses 10% every hour, what will the battery percentage be after 5 hours? Create a graph to show this decline.

• 59.05%

• 70%

• 45%

• 80%

A viral video is viewed by 1,000 people on the first day and the views double each day. How many views will it have on the 7th day? Graph the number of views over the week.

• 128000

• 50000

• 32000

• 64000

A certain species of plant grows exponentially. If it starts with 10 plants and triples every month, how many plants will there be after 6 months? Interpret the growth model you create.

• 2187

• 1000

• 5000

• 7290

A city’s population is modeled by the function P(t) = 50,000(1.02)^t, where t is the number of years since 2020. What will the population be in 2025? Graph the population growth.

• 60000

• 55204

• 55000

• 50000

A new technology is adopted by 100 users and the number of users doubles every month. How many users will there be after 6 months? Create a model and graph the adoption over time.

• 1600

• 3200

• 12800

• 6400