Practice - Set 2 – Exponential Decay
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.
Practice Questions
Test your understanding with targeted questions
If a car is worth $18,000 and depreciates at a rate of 10% per year, how much will it be worth after 1 year?
💡 Hint: Use the formula y = a(1 - r)^t with t = 1.
A plant decays at a rate of 5% every year. If it starts at a height of 2 meters, what will its height be after 2 years?
💡 Hint: Apply the decay formula with a = 2, r = 0.05, and t = 2.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following is true about exponential decay?
💡 Hint: Recall that decay indicates a reduction in the variable.
True or False: The value of an exponentially decaying quantity can reach zero.
💡 Hint: Think about how a limit behaves in an exponential function.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A population of a certain species declines by 25% every year. If there were 800 of these animals at the start, what will be the population after 4 years?
💡 Hint: Remember to apply the formula carefully and round to the nearest whole number.
A radioactive sample has a half-life of 10 years. If you start with 100 grams of material, how much will be left after 30 years?
💡 Hint: Calculate how many half-lifes fit into the 30 years and apply the reduction accordingly.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.