5: Proportions and Variation
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- 5.1: Ratios, Rates, Proportions
- A ratio is the quotient of two numbers or the quotient of two quantities with the same units. A rate is the quotient of two quantities with different units. You must include the units. A proportion says that two ratios (or rates) are equal.
- 5.2: Applications of Proportionality
- This page explores direct and inverse proportionality, illustrating how two quantities can increase or decrease relative to each other, with practical examples like earnings based on wages and the number of sanitation workers needed for tasks. It emphasizes the importance of the constant of proportionality and contextual validation of solutions.
- 5.3: Use Direct and Inverse Variation
- This page outlines learning objectives for direct and inverse variation problems, featuring definitions, formulas, and practical examples like salary, calories burned, and distance traveled. It explains direct variation (one variable changes with a constant factor) and inverse variation (as one variable increases, another decreases), with applications in areas like fuel consumption and car depreciation.