Practice Example 2 (1.2.3.2) - Exponential Growth and Decay - IB 10 Mathematics – Group 5, Algebra
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Example 2

Practice - Example 2

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Practice Questions

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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.

4 more questions available

Interactive Quizzes

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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.

1 more question available

Challenge Problems

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Challenge 1 Hard

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.

Challenge 2 Hard

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.

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