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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the population of 800 in a town with a growth rate of 5% for 5 years.
💡 Hint: Use the formula y = a(1 + r)^t.
Question 2
Easy
What will be the price of an item costing $300 that depreciates by 10% per year after 2 years?
💡 Hint: Use the formula y = a(1 - r)^t.
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 does exponential growth refer to?
- Constant amount increase
- Constant percentage increase
- Irregular increase
💡 Hint: Think about how populations grow in biology.
Question 2
Is exponential decay a process where a quantity increases?
- True
- False
💡 Hint: Remember the context of depreciating values.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a forest of trees maturing at an exponential growth rate of 10%. If the forest currently comprises 1,000 trees, how many trees will stand after 15 years?
💡 Hint: Apply the growth formula and calculate with the growth rate applied annually.
Question 2
A rare orchid is reported to lose 20% of its population each year due to climate change. If there were initially 500 orchids, how many will remain after 4 years?
💡 Hint: Use the decay formula effectively with the given parameters.
Challenge and get performance evaluation