What is the fundamental concept of a ratio? What are the parts of a ratio?
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- Challenging Ratio and Proportion Scenarios If a quantity x is proportional to y^2, and x = 16 when y = 4, find x when y = 6.
- Describe how to solve direct proportion problems. Problem 10 If y is inversely proportional to x, and y = 12 when x = 3, find y when x = 2.
- How does a proportion differ from a ratio? What are the parts of a proportion?
- What are the trade-offs between different scaling methods? Consider the use of ratios in mixture problems where chemical reactions occur.
- Describe how to apply ratios to geometric figures. The angles of a quadrilateral are in the ratio 1 2 3 4. Find the measure of each angle.
- Use the given ratio and the number of students to find the number of teachers.
- Similar Figures and Proportions What is the ratio of corresponding sides in similar triangles?
- Speed, Distance, and Time Ratios
- Give an example. How can ratios and proportions be used in problems involving mixtures with three or more components?
- How can you create equivalent ratios? How do you simplify a ratio?
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