Practice Key Concepts - 1.2 | 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

What is the initial value in the function y = 3 * (2^x)?

💡 Hint: Look for the constant before the exponent.

Question 2

Easy

If a quantity doubles every hour, what is the growth rate?

💡 Hint: Doubling means the quantity is multiplied by 2.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the formula for exponential growth?

  • y = a(1 + r)^t
  • y = a(1 - r)^t
  • y = ab^x

💡 Hint: Think about the increase in terms of percentage.

Question 2

Is exponential decay characterized by a growth base less than 1?

  • True
  • False

💡 Hint: Remember, what does a base less than 1 signify?

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Challenge Problems

Push your limits with challenges.

Question 1

A tree grows at an exponential rate, currently 3 meters tall. If it grows by 40% each year, how tall will it be after 5 years?

💡 Hint: Find the new height each year based on the previous height’s growth.

Question 2

A starting investment of $1,000 generates 6% interest compounded annually. What will it be worth in 10 years?

💡 Hint: Each year, the interest is calculated on the total, not just the initial amount.

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