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Questions and Answers
What characterizes a proportional relationship between two quantities x and y?
What characterizes a proportional relationship between two quantities x and y?
- The ratio of x to y can vary.
- The ratios y/x remain constant for all related pairs. (correct)
- The sum of x and y is always a constant.
- The quantities x and y are always equal.
When converting a ratio of fractions into a unit rate, what fundamental concept is primarily applied?
When converting a ratio of fractions into a unit rate, what fundamental concept is primarily applied?
- Adding the fractions together.
- Finding common denominators.
- Multiplying fractions to simplify.
- Using equivalent ratios. (correct)
Which of the following correctly describes equivalent ratios?
Which of the following correctly describes equivalent ratios?
- They are established only when the quantities are fractions.
- They represent the same relationship between two quantities. (correct)
- They are always expressed in whole numbers.
- They differ in their overall value.
Which equation accurately represents a proportion?
Which equation accurately represents a proportion?
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What role do equivalent ratios play in problem-solving?
What role do equivalent ratios play in problem-solving?
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Study Notes
Connect Ratios, Rates, and Units
- Equivalent ratios and rates are useful for comparing ratios and solving problems.
- Unit rates are included.
Determine unit rates With ratios of Fractions
- Equivalent ratios and operations with fractions can be used to express ratios of fractions as unit rates.
Understanding Proportional Relationships: Equivalent Ratios
- A proportional relationship exists between quantities x and y when all ratios y/x for corresponding pairs of x and y are equivalent.
- A proportion is an equation that states the equivalence of two ratios.
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