Practice Example 1 (1.2.2.2) - Exponential Growth and Decay - IB 10 Mathematics – Group 5, Algebra
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Example 1

Practice - Example 1

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

A town has 1,000 people and grows at 3% per year. What will the population be after 5 years?

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

Question 2 Easy

If a tree grows at 6% annually and is currently 1.5 meters tall, how tall will it be in 4 years?

💡 Hint: Use the growth formula with a = 1.5, r = 0.06, and t = 4.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for exponential growth?

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

💡 Hint: Remember, growth is associated with a positive rate.

Question 2

In the context of decay, what does the variable 'r' represent?

💡 Hint: It’s a percentage rate expressed in decimal form.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A culture of bacteria starts with 250 cells, doubling every 4 hours. How many cells will there be after 24 hours?

💡 Hint: Remember, each 4 hours counts as one doubling period.

Challenge 2 Hard

A valuable antique starts at $30,000 and depreciates by 12% after each year. How much will it be worth in 8 years?

💡 Hint: Consider the depreciation as '1 - r' for the calculation.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.