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Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the population of a town of 1000 people growing at 2% per year after 5 years.
💡 Hint: Use the formula: `y = a(1 + r)^t`.
Question 2
Easy
If a tree is currently 4 meters tall and grows by 3% per year, how tall will it be after 3 years?
💡 Hint: Apply the exponential growth formula, `y = 4(1 + 0.03)^3`.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the general form of an exponential function?
💡 Hint: Think about the variables involved!
Question 2
When does exponential growth occur?
💡 Hint: What happens to y as we increase x?
Solve 2 more questions and get performance evaluation
Push your limits with challenges.
Question 1
A certain species of fish triples in population every 4 years. If there are currently 100 fish, how many will there be in 16 years?
💡 Hint: Remember to determine the number of cycles in 16 years.
Question 2
You invest $1,000 in an account with an annual interest rate of 12%, compounded annually. What will your investment be worth after 10 years?
💡 Hint: You need to apply the compounding formula for a decade.
Challenge and get performance evaluation