Knowledge Growth Review

Interactive MATH 114 quiz-prep prompts for comparing linear, exponential, and logistic growth models.

Math Quiz Prep: Linear, Exponential & Logistic Growth

1. Defining Growth Types

Question: Explain the fundamental difference between how a quantity changes in linear growth versus exponential growth.

2. Identifying Growth Type

Question: Identify the growth type for each scenario:

3. Calculating Exponential Growth

Question: A mold culture starts with 50 spores and doubles every 6 hours. How many spores will there be after 24 hours?

4. Using the Rule of 70

Question: If an investment is growing at an average rate of 5% per year, use the Rule of 70 to estimate how long it will take for the investment to double.

5. Understanding Carrying Capacity

Question: Imagine deer living in a forest. What factors might limit the deer population from growing infinitely? What term do we use for the maximum sustainable population size in that environment?

6. Comparing Doubling Time Formulas

Question: When might it be acceptable to use the quick estimate from the Rule of 70, and when might you need a more precise formula (using logarithms)?

7. Explaining Logistic Growth

Question: Describe the shape of a logistic growth curve. What happens to the growth rate during the different phases?

8. Calculating Population Growth Rate

Question: A country has 25 births per 1,000 people and 10 deaths per 1,000 people annually. What is its natural population growth rate as a percentage?

9. Applying Growth Concepts

Question: Give one real-world example where linear growth might be a suitable model, and one where exponential growth is more appropriate (at least initially).

10. Exponential Calculation Practice

Question: If you start with $500 and it grows by 8% each year, how much money will you have after 3 years?