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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the population after 5 years for a town with a population of 1,200 growing at 3% per year.
💡 Hint: Use the formula y = a(1 + r)^t with a = 1200, r = 0.03, and t = 5.
Question 2
Easy
What is the worth of a painting worth $5,000 after 3 years if it depreciates at 10% per year?
💡 Hint: You'll need to use 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 is the formula for exponential growth?
💡 Hint: Remember, you are adding the rate to 1.
Question 2
If a quantity is decreasing exponentially, is the growth rate (r) positive or negative?
- True
- False
💡 Hint: Think about what happens to the value as time goes on.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If an investment of $1,000 grows at an annual rate of 8%, how much will the investment be worth after 15 years?
💡 Hint: Utilize y = 1000(1 + 0.08)^15.
Question 2
A radioactive substance has a half-life of 5 years. If you start with 100 grams, how much will be left after 20 years?
💡 Hint: After 20 years, there will be four half-lives; 100 -> 50 -> 25 -> 12.5 -> 6.25.
Challenge and get performance evaluation