Practice Important Points (1.3) - Exponential Growth and Decay - IB 10 Mathematics – Group 5, Algebra
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Important Points

Practice - Important Points

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Practice Questions

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Question 1 Easy

Calculate the future population of a town with 2000 people growing at 3% per year after 5 years.

💡 Hint: Use the formula y = a(1 + r)^t.

Question 2 Easy

If a tree starts at 3 meters and grows at 6% per year, how tall will it be in 3 years?

💡 Hint: Remember to use the growth formula!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the formula y = a(1 + r)^t represent?

Exponential Growth
Exponential Decay
Linear Growth

💡 Hint: Think about what happens when a value increases over time.

Question 2

True or False: An exponential function can cross the x-axis.

True
False

💡 Hint: Consider how curves behave as they flatten out.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A city has a population of 50,000 people and experiences a 3% growth every year. What will be the population after 15 years?

💡 Hint: Calculate the growth factor and apply it to the formula correctly.

Challenge 2 Hard

An investment of $2000 depreciates by 8% yearly. How much will it be worth after 10 years?

💡 Hint: Remember to use the decay formula correctly.

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