Practice Exponential Growth (1.2.2) - Exponential Growth and Decay - IB 10 Mathematics – Group 5, Algebra
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Exponential Growth

Practice - Exponential Growth

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the population of a town that starts at 1,000 and grows 5% per year after 5 years.

💡 Hint: Use 𝑦 = 𝑎(1 + 𝑟)𝑡.

Question 2 Easy

If a tree is currently 3 meters tall and grows 10% each year, what will its height be after 2 years?

💡 Hint: Apply 𝑦 = 𝑎(1 + 𝑟)𝑡 to find the height.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What formula represents exponential growth?

𝑦 = 𝑎(1 + 𝑟)^𝑡
𝑦 = 𝑎(1 - 𝑟)^𝑡
𝑦 = 𝑎 ⋅ 𝑏^𝑥

💡 Hint: Think about how quantities increase over time.

Question 2

True or False: Exponential decays occur when the base is greater than 1.

True
False

💡 Hint: Remember the characteristics of base values.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A company’s sales increase by 25% per quarter. If the initial sales are $10,000, what will they be after 1 year?

💡 Hint: Use the growth formula with quarterly periods.

Challenge 2 Hard

A piece of furniture depreciates by 10% annually. If the original value is $1,200, find its value after 5 years.

💡 Hint: Apply the decay formula accurately.

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