Practice - Solutions (Selected)
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Practice Questions
Test your understanding with targeted questions
If a town has 500 people growing at 2% per year, what will the population be after 5 years?
💡 Hint: Use the growth formula with 𝑎 = 500, 𝑟 = 0.02, and 𝑡 = 5.
A plant grows 10% each year from an initial height of 1 meter. What will it be in 3 years?
💡 Hint: Use 𝑎 = 1, apply the growth formula.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the general form of an exponential function?
💡 Hint: Remember the structure we discussed in class.
If 𝑟 = 0.20, how much will an investment of $500 be worth after 3 years at a 20% growth rate?
💡 Hint: Use the growth formula provided.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A population starts at 2,000 and grows at 3% per year. Calculate the population after 15 years, and explain how mathematical models can affect predictions in real situations.
💡 Hint: Use the exponential growth formula.
A car valued at $30,000 depreciates at a constant rate of 18% yearly. What will it be worth after 10 years? Discuss how depreciation rates affect consumer behavior.
💡 Hint: Recall the exponential decay formula for your calculation.
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