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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
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.
Question 2
Easy
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.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
Which of the following is true about exponential decay?
- It increases steadily
- It decreases over time
- It stays constant
💡 Hint: Recall that decay indicates a reduction in the variable.
Question 2
True or False: The value of an exponentially decaying quantity can reach zero.
- True
- False
💡 Hint: Think about how a limit behaves in an exponential function.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation