Practice Solutions (Selected) - 1.7 | 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 town has 500 people growing at 2% per year, what will the population be after 5 years?

💡 Hint: Use the growth formula with 𝑎 = 500, 𝑟 = 0.02, and 𝑡 = 5.

Question 2

Easy

A plant grows 10% each year from an initial height of 1 meter. What will it be in 3 years?

💡 Hint: Use 𝑎 = 1, apply the growth formula.

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 general form of an exponential function?

  • 𝑦 = 𝑎 + 𝑏𝑥
  • 𝑦 = 𝑎 ⋅ 𝑏𝑥
  • 𝑦 = 𝑎 - 𝑏𝑥

💡 Hint: Remember the structure we discussed in class.

Question 2

If 𝑟 = 0.20, how much will an investment of $500 be worth after 3 years at a 20% growth rate?

💡 Hint: Use the growth formula provided.

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Challenge Problems

Push your limits with challenges.

Question 1

A population starts at 2,000 and grows at 3% per year. Calculate the population after 15 years, and explain how mathematical models can affect predictions in real situations.

💡 Hint: Use the exponential growth formula.

Question 2

A car valued at $30,000 depreciates at a constant rate of 18% yearly. What will it be worth after 10 years? Discuss how depreciation rates affect consumer behavior.

💡 Hint: Recall the exponential decay formula for your calculation.

Challenge and get performance evaluation