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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the population of a town that starts at 1,000 and grows 5% per year after 5 years.
💡 Hint: Use 𝑦 = 𝑎(1 + 𝑟)𝑡.
Question 2
Easy
If a tree is currently 3 meters tall and grows 10% each year, what will its height be after 2 years?
💡 Hint: Apply 𝑦 = 𝑎(1 + 𝑟)𝑡 to find the height.
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
What formula represents exponential growth?
- 𝑦 = 𝑎(1 + 𝑟)^𝑡
- 𝑦 = 𝑎(1 - 𝑟)^𝑡
- 𝑦 = 𝑎 ⋅ 𝑏^𝑥
💡 Hint: Think about how quantities increase over time.
Question 2
True or False: Exponential decays occur when the base is greater than 1.
- True
- False
💡 Hint: Remember the characteristics of base values.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A company’s sales increase by 25% per quarter. If the initial sales are $10,000, what will they be after 1 year?
💡 Hint: Use the growth formula with quarterly periods.
Question 2
A piece of furniture depreciates by 10% annually. If the original value is $1,200, find its value after 5 years.
💡 Hint: Apply the decay formula accurately.
Challenge and get performance evaluation