



If y is inversely proportional to x, how is this written mathematically? If y ∝ 1/x and y = 6 when x = 3, find y when x = 2.
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- Explain how proportions are used in analyzing health data and trends. Explore the use of ratios and proportions in demography and population studies.
- Explain how proportions are used in tracking project progress and timelines. Explore the applications of ratios and proportions in supply chain management and logistics optimization.
- Discuss the calculation of odds and probabilities using ratios.
- If the mass of an object is 20 kg and its volume is 5 m³, what is its density? How are ratios and proportions used in chemistry (e.g., stoichiometry)?
- How can proportions be used to track changes in pollution levels over time? How are ratios and proportions used in geography (e.g., population density)?
- Discuss the limitations of using ratios without considering the underlying quantities. Can a ratio be negative? Explain your reasoning.
- Explain why simplifying ratios does not change their value. Describe different methods for comparing ratios.
- Explain how proportions have influenced musical forms and structures throughout history. Research the use of ratios and proportions in literature and literary analysis.
- Practice question Are the ratios 5 7 and 15 21 equivalent?
- How much pure alcohol should be added to 100 ml of a 30% alcohol solution to make it a 50% solution? How are ratios and proportions used in calculating speeds, distances, and times?
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