Practice Exponential Decay - 1.2.3 | 11.Exponential Growth and Decay | IB Class 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

If a tree worth $200 begins to decay at a rate of 10% annually, how much will it be worth after one year?

💡 Hint: Use the formula y = 200(1 - 0.10).

Question 2

Easy

A car valued at $15,000 depreciates 5% each year. What is its value after 1 year?

💡 Hint: Calculate the new value using y = a(1 - r).

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the formula for exponential decay?

  • y = a(1 + r)^t
  • y = a(1 - r)^t
  • y = a^t

💡 Hint: Recall the formula we discussed in class.

Question 2

True or False: In exponential decay, the quantity goes to zero.

  • True
  • False

💡 Hint: Think about how exponential decay behaves graphically.

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Challenge Problems

Push your limits with challenges.

Question 1

A company has 1000 units of a product remaining in stock, and it sells them at a rate of 15% per month. How many units will it have left after 6 months?

💡 Hint: Calculate this step-by-step for each month.

Question 2

A radioactive material has a half-life of 3 years. If we start with 80 grams, how much will remain after 9 years?

💡 Hint: Consider how many half-lives fit into 9 years.

Challenge and get performance evaluation