Practice Formula (1.2.3.1) - Exponential Growth and Decay - IB 10 Mathematics – Group 5, Algebra
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Practice - Formula - 1.2.3.1

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the population of a town of 1000 people growing at 2% per year after 5 years.

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

Question 2 Easy

If a tree is currently 4 meters tall and grows by 3% per year, how tall will it be after 3 years?

💡 Hint: Apply the exponential growth formula, `y = 4(1 + 0.03)^3`.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the general form of an exponential function?

💡 Hint: Think about the variables involved!

Question 2

When does exponential growth occur?

True
False

💡 Hint: What happens to y as we increase x?

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A certain species of fish triples in population every 4 years. If there are currently 100 fish, how many will there be in 16 years?

💡 Hint: Remember to determine the number of cycles in 16 years.

Challenge 2 Hard

You invest $1,000 in an account with an annual interest rate of 12%, compounded annually. What will your investment be worth after 10 years?

💡 Hint: You need to apply the compounding formula for a decade.

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