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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
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 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.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation