Practice Introduction (1.1) - Exponential Growth and Decay - IB 10 Mathematics – Group 5, Algebra
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Introduction

Practice - Introduction

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the exponential growth formula?

💡 Hint: Remember the structure of the equation.

Question 2 Easy

In exponential decay, if a quantity decreases by 10%, what is the decay factor?

💡 Hint: Subtract the percentage from 1.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for exponential decay?

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

💡 Hint: Think about how the quantity decreases.

Question 2

True or False: In exponential growth, the base (b) is always greater than 1.

True
False

💡 Hint: Recall the definition of growth.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A town has 2,000 residents and grows at a rate of 2.5% per year. How many residents will it have in 8 years?

💡 Hint: Apply the growth formula correctly over the 8 years.

Challenge 2 Hard

A radioactive substance has a half-life of 3 years. If you start with 160 grams today, how much will be left after 12 years?

💡 Hint: Calculate how many half-lives fit into the 12-year period.

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