Understanding Exponential Growth and Graphing Functions

1. A bacteria culture doubles in size every hour. If there are initially 100 bacteria, how many will there be after 5 hours? Graph the growth of the bacteria over this time period.

• 4000

• 2400

• 1600

• 3200

2. A car's value decreases by 20% each year. If the car is worth $20,000 now, what will its value be in 3 years? Create a graph to show the car's depreciation over 5 years.

• $12,500

• $15,000

• $10,240

• $8,000

3. A population of rabbits grows exponentially. If there are 50 rabbits now and the population doubles every month, how many rabbits will there be in 6 months? Sketch the graph of the population growth.

• 800

• 3200

• 6400

• 1500

4. An investment of $1,000 grows at an annual interest rate of 5%, compounded annually. How much will the investment be worth after 10 years? Graph the growth of the investment over this period.

• $1,200.00

• $1,628.89

• $1,500.00

• $2,000.00

5. A certain species of fish in a lake is known to grow exponentially. If there are currently 200 fish and the population increases by 30% each year, how many fish will there be in 4 years? Illustrate this growth with a graph.

• 400

• 800

• 1000

• 571

6. A tree grows at a rate of 10% per year. If the tree is currently 3 meters tall, what will its height be in 5 years? Create a graph to represent the height of the tree over time.

• 6.50 meters

• 4.83 meters

• 7.20 meters

• 5.00 meters

7. A viral video on a social media platform gains 1,000 views in the first hour and then doubles its views every hour. How many views will it have after 6 hours? Graph the number of views over this time.

• 32000

• 64000

• 8000

• 128000

8. A certain type of investment grows exponentially, with a growth factor of 1.08 per year. If you invest $500, how much will it be worth after 7 years? Plot the growth on a graph.

• $859.09

• $750.00

• $600.75

• $1,200.50

9. A population of a city is currently 1 million and is expected to grow at a rate of 4% per year. How many people will live in the city after 10 years? Graph the population growth over this period.

• Approximately 1,480,244 people will live in the city after 10 years.

• Approximately 1,750,000 people will live in the city after 10 years.

• Approximately 1,000,500 people will live in the city after 10 years.

• Approximately 1,200,000 people will live in the city after 10 years.

10. A savings account has an initial deposit of $2,000 and earns 6% interest compounded annually. How much money will be in the account after 8 years? Create a graph to show the growth of the savings over time.

• $3,187.70

• $4,000.00

• $3,000.00

• $2,500.00