Worksheet on Exponential Growth and Decay

Exponential growth and decay are important concepts in mathematics and have real-world applications in various fields such as finance, biology, and physics. Understanding how exponential functions work can help in making predictions and analyzing data effectively.

In this worksheet, students will have the opportunity to practice problems related to exponential growth and decay. By working through these exercises, they will enhance their understanding of the topic and develop their problem-solving skills.

Worksheet on Exponential Growth and Decay

1. The population of a city is currently 10,000 and is increasing at a rate of 3% per year. Write an exponential function to model the population growth and determine the population after 5 years.

2. A radioactive substance decays at a rate of 5% per hour. If there are 500 grams of the substance initially, write an exponential function to model the decay and find the amount of the substance remaining after 3 hours.

3. A bank account earns interest at a rate of 2% per month. If the initial deposit is $1,000, write an exponential function to represent the account balance and calculate the balance after 6 months.

4. The value of a car depreciates by 10% per year. If the car is initially worth $20,000, write an exponential function to model the depreciation and determine the value of the car after 4 years.

5. A population of bacteria doubles every hour. If there are 100 bacteria initially, write an exponential function to represent the population growth and find the number of bacteria after 5 hours.

By completing this worksheet, students will gain valuable practice in solving problems involving exponential growth and decay. These concepts are essential for understanding various phenomena in the world around us and are fundamental in many scientific and mathematical fields.

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