Exponential Growth And Decay
Overview
When a quantity grows or shrinks by the same percentage again and again, it changes exponentially: slowly at first, then dramatically. Savings with compound interest, a growing population and a depreciating car all follow this pattern, and the same compact formula describes them all.
In this lesson (Extended tier) you will model exponential growth and decay using a repeated percentage change, and use the formula to find a value after a number of steps.
Objectives
- Use exponential growth and decay.
Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Exponential Growth And Decay. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- A population of 5000 grows by 8% per year. Which expression gives the population after 3 years? A. 5000 x 3 x 1.08 B. 5000 x 1.08^3 C. 5000 x 0.08^3 D. 5000 + 1.08^3 Answer: B
- A car worth $12 000 loses 15% of its value each year. What multiplier is used? A. 0.15 B. 0.85 C. 1.15 D. 1.85 Answer: B
- $2000 grows at 5% per year compound. Its value after 2 years is: A. $2100 B. $2200 C. $2205 D. $2210 Answer: C
- A quantity decays by 10% per step. After 2 steps a value of 100 becomes: A. 80 B. 81 C. 90 D. 100 Answer: B
- Exponential growth means a quantity changes by: A. the same amount each step B. the same percentage each step C. a decreasing amount D. a random amount Answer: B
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Recommended Books
Practice Mock Questions
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