Practice Example 2 - 1.2.3.2 | 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

What does exponential decay refer to?

💡 Hint: Think about how quickly things lose value.

Question 2

Easy

If a car depreciates at 10% per year and is worth $10,000 initially, what will it be worth after one year?

💡 Hint: Calculate 10% of $10,000 and subtract from the original value.

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 does the term 'exponential decay' refer to?

  • A gradual increase
  • A constant increase
  • A decrease by percentage

💡 Hint: Think about what happens when something loses value.

Question 2

True or False: If a quantity decays exponentially, it will eventually reach zero.

  • True
  • False

💡 Hint: Visualize what happens to a curve approaching the axis.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A piece of machinery loses value at a rate of 30% per year. If its initial cost was $200,000, what will its value be after 3 years?

💡 Hint: Don’t forget to calculate each year's reduction to find the final value.

Question 2

Explain how different decay rates affect the value of an item over time, using a graph to show your findings.

💡 Hint: Consider drawing graphs for 10% vs. 25% decay for clear comparison.

Challenge and get performance evaluation